Bearing and distance trigonometry pdf. Work out the real distance between L and H.

Bearing and distance trigonometry pdf 6 %âãÏÓ 405 0 obj > endobj xref 405 78 0000000016 00000 n 0000005057 00000 n 0000005379 00000 n 0000005508 00000 n 0000005598 00000 n 0000005754 00000 n 0000006278 00000 n 0000006765 00000 n 0000007371 00000 n 0000007988 00000 n 0000008210 00000 n 0000008494 00000 n 0000008566 00000 n 0000013604 00000 n Many everyday problems in trigonometry involve such terms as bearings, angles of elevation, and angles of depression. 7 %µµµµ 1 0 obj >/Metadata 6938 0 R/ViewerPreferences 6939 0 R>> endobj 2 0 obj > endobj 3 0 obj >/ExtGState >/XObject >/ProcSet[/PDF/Text/ImageB/ImageC Topic 3— Geometry and trigonometry: SL 3. Plane Bravo will fly the route A – B – C. Find the distance of Castleton from Moorsholm. (b) The bearing of Q from P is 150o and the bearing of P from R is 015o. Example 1. 7 m 56 mm 41 mm 4. Now, let's look at a problem where we find the distance using right triangles as bearings. South is represented by a bearing of 180 , and west is indicated by a bearing of 270 (or −90 ). Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. b) Find the Questions in Context Bearings Examples: Fred is standing at a point looking north. Bob hikes 8 km due South, then 5 km due West. The bearing can also be measured as 155°. Ship A travels on a bearing of 159o and B travels on a bearing of 215o. Time Allowed: 48. Calculate the bearing of Beeton from Ayton, and the distance between the two towns. If the altitude This document discusses bearings and how to calculate them. 4—Circle: radians, arcs, sectors: SL 3. 95 KB. This question and its answer choices give you a few clues to work with. [2 mark] Turn over for next question Turn over 4 A 1cm=1km B pdf, 1. He walks on a bearing 056° for 9. Trigonometry Honors 1. The second travels on a bearing of 143° at 300 mph. Calculate the distance of B from P. Pythagoras' Theorem and Trigonometry (H) Similarity and Congrunece in 2D and 3D (H) Transformations and Constructions (H) Trigonometry, 3D Pythagoras and Accuracy and Bounds (H) Vectors and Geometric Proof (H) Distance will be denoted by D, and bearing by β. Answer(b)(ii) km [3] (c) The total amount, $1380, raised in 2010 was 8% less than the total amount raised in 2009. How do I answer trickier questions involving bearings? Bearings questions may involve the use of Pythagoras or trigonometry to find missing distances (lengths) and directions (angles) 3 days ago · Let's consider a bearings problem about the journey of a ship. Another option flies first to Kansas City (bearing N29. 6(a) Draw points and on the diagram below using the information given. Example Two ships A and B leave a port P at the same time. 180 – 78). Trigonometry • Right triangles • Pythagorean theorem • Trigonometric functions • Oblique triangles • Directions: bearings and azimuths • Latitudes and departures • Plane coordinates Coordinate Geometry • Intersection of straight lines • Intersection of This lesson plan includes the objectives and prerequisites of the lesson teaching students how to solve bearing problems using trigonometry. 4°E). Calculate, giving your answers correct to 3 significant figures (a) the distance AC (b) the bearing of Port C from Port A. domainsnmore. COMPASS BEARING. Worked Example 3 A ship leaves port P and sails to port Q on a bearing of 124°. To find any other unknowns . The above expressions assume the arguments in all trigonometric functions and results are in degrees. Along with Stepwise Solutions, Timing, PDF download to boost your the GCSE Maths Grades. Contents. The ship is headed du a bearing S 12°F. Plotting angles and distances on graph paper including a full traverse. [5] To find the bearing of D from C we’ll need to find the size of the angle BCD, and then take that angle, and 90 °, away from 360°. 21 the distance (d) across the lake is approximately 5. Original exercise on Promethean flipchart included. 8 m from the base of the wall. Two planes leave an airport at the same time. Bearings are angles used in navigation. 2 Find the value of y, correct to the nearest minute. It Apr 23, 2021 · Title: IG-0580-Trig-Bearing and 3D- Revised Notes-2 Author: CamScanner Subject: IG-0580-Trig-Bearing and 3D- Revised Notes-2 Mar 8, 2020 · One application of trigonometry has to do with dealing with directions on the compass. (a) Sketch a diagram to show the positions of O, P and Q. The Right Triangle. After a 45 minute break, the hiker continues walking 5 more miles at a bearing of 112 degrees. How far is Jack from Peter? Show Video 7 6 The bearing of from is 190°, and is 5kmfrom . Must Practice GCSE (9-1) Maths Bearings Past Paper Questions. 2—2d and 3d trig, sine rule, cosine rule, area: SL 3. Leg 2 (B to C): Fly a distance of 550m on a bearing of 259 °. Using Trigonometry to find a bearing example problem 2. 3—Applications: angles of elevation and depression, bearings: SL 3. a) The bearing of point A from point C. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need from the school and a bearing of 095° from the bank. Further, angles in navigation and surveying may also be given in terms of north, east, south, and west. let's look at a problem where we find the distance using right triangles as Oct 12, 2020 · BEARINGS PROBLEMS USING TRIGONOMETRY 1) Ayton is 60 miles due North of Oxford, and Beeton is 80 miles due West. They are based on moving clockwise from due north. A bearing is used to represent the direction of one point relative to another point. For example if A and B were located like this North A B 60 then the true bearings of B from A are written as 060 T. Extended students will apply their understanding to Feb 1, 2025 · This document provides 10 multi-part exam questions involving bearings and trigonometry rules. In this topic, we will learn how to use the bearing to calculate the distance or position of one The coast guard cruiser leaves on a bearing of 32° and travels 36 km. Sue walks around the perimeter of a triangular field. Finding the bearing of a point from another . !The diagram shows the position of a boat B and a dock D. It provides examples of calculating the bearing between two points (A and B) by determining the angle measured clockwise from due north. From Q, the ship travels to port R on a bearing of 320°. It is 5. Coordinate Geometry. Bearings are a way of expressing the angle between two objects. P is 15 m away from O on a bearing of 040° from O. A bearing gives the direction between two points in terms of an angle in degrees. This document provides 10 multi-part exam questions involving bearings and trigonometry rules. 6km. Find the distance from airport A to airport C. The questions involve calculating angles, bearings, and distances between locations on diagrams representing real-world scenarios like positions of cell phone towers, their journeys, what is the distance between the two hikers? Also calculate the bearing of Anna from Brenda. Finding Bearings from the school and a bearing of 095° from the bank. notebook 1 September 27, 2021 From his position, boat A has a bearing of 2300, and boat B has a bearing of 1200. 92 MB flipchart, 1. Point A Sep 25, 2012 · Leg 1 (A to B): Fly a distance of 875m on a bearing of 178 °. In this case, finding the right basic trigonometric functions Free bearings GCSE maths revision guide, including step by step examples, exam questions and free worksheet. He then walks an additional 3. ; Worksheets (including examples). This was taken from my 150 Page workbook which covers many more maths topics. 5 centimetres from X on a bearing of 105°. 1—3d space, volume, angles, distance, midpoints: SL 3. 2 cm, representing an actual May 24, 2022 · bearing S78oE is equivalent to the 3-figure bearing 102o (i. g. The tanker is on a bearing of 122° and travels 15 km. Bearings. In a cross-country competition, runners head off from the start point on a bearing of !22°15′! and travel 3. Since then astronomers have used it, for instance, to calculate distances from the Earth to the planets and stars. 7 28 12 123 87 3 A 6-metre ladder rests against a wall. Finally, it gives an example problem calculating the distance between two ports 6. The angle of depression from a helicopter to its landing port is 64°. If he were to hike directly back to camp, how far must he travel? In what direction? Example: To find the distance across a lake, a surveyor took the following measurements: What is the distance across the lake? Looking at the 'triangle', we have Side-Angle-Side. Cosine Rule and Bearing Problem - GCSE and a-level revision video This video shows how to use the cosine rule to solve a problem involving bearings. Related concepts like calculating the reverse bearing by adding or subtracting 180 degrees are also covered. Bearings are measured clockwise from the northline. Task 2 You now have two model planes, and plan to race them to point C, the railway roundabout. Clearly indicate North on your diagram. Oct 28, 2024 · Bearing With Non-right Triangles - Free download as PDF File (. The distances BEARING AND DISTANCES. km (1) (b) Measure the bearing of H from L. 2) Draw coordinate axes and label them from 0 to 12 on each axis, using a scale of 1cm to 1 unit. Bearing and Distance The bearing and distance is an example of applied knowledge of trigonometry. Trigonometry was invented because its need arose in astronomy. Find the distance between the ship and the buoy at the time of each sighting. E. 1 miles, bearing N57. Find the corresponding bearing of the following: (a)N64 0 W (b)064 0 (c)S42 0 E (d) 234 0 Explanation: . 12) A hiker leaves camp and walks 8 miles at a bearing of 48 degrees. Points O, P and Q are in the same horizontal plane. NOTTO B120° SCALE. If a distance is given in a particular bearing, label this distance as the hypotenuse of the triangle. Mark on the diagram where the Library is located. (Total for Question 3 is 2 marks) A × N B × N The Corbettmaths Textbook Exercise on Bearings. 4 cm, which represents 540 nautical miles. We have a new and improved read on this topic. The two types of bearing are compass bearing and three-figure bearings. Always measure bearings from the North line. 25 - 119(. The first travels on a bearing of 053° at 400 mph. is 45 km from Port B on a bearing of 040°. Boat C is on a bearing of 065° from A. This section introduces trigonometry into bearing questions GCSE with answers, combining bearing concepts with trigonometric calculations. 6°E) and then to St. Plot angles, find distances and determine the x,y coordinates for a given distance and bearing from places other than the origin. 4 cm, which represents an actual distance of 530 m. The questions Mar 8, 2020 · One option is to fly direct, a distance of 461. 67 KB pdf, then strengthen and extend their skills in working out bearings from diagrams. !The scale of the diagram is 1cm represents 2km. . Mar 5, 2025 · Let's consider a bearings problem about the journey of a ship. . ° (1) A boat B is 20 km from H on a bearing of 040° (c) On the diagram, mark the 5 days ago · Bearings. N45 0 E, S60 0 W. Worksheet involving application of Sine and Cosine Rules. Examples are given of calculating the bearing between two points using trigonometry. You can use right triangles to find distances using angles given as bearings. One way of dealing with compass directions is to describe true north as 0°, and then May 24, 2022 · bearing S78oE is equivalent to the 3-figure bearing 102o (i. Can click on question to reveal help with angles or the answers. Jul 5, 2024 · BEARINGS Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, Work out the real distance between L and H. Suitable for GCSE Students sitting the 9 – 1, A-Level Maths students revision and some Key Stage 3 students. The four major compass directions are North (N) South (S) East (E) and West (W) at a bearing of S72oE. 8km to Marker 2. The foot of the ladder is 1. On the diagram, mark with a cross (×) the position of boat C on the diagram. Students The document discusses bearings and how to calculate them. !(a) Work out the actual distance between the dock and the boat. Leg 3 (C to D): Fly a distance of 885m on a bearing of 327 °. 8km. Because the angle begins in the south direction and moves towards the west, the correct bearing is . What is the compass bearing back to her starting point? xceleratemath. Peter walks from town A for 13 miles on a bearing of 1300°. Add the location This lesson plan includes the objectives and prerequisites of the lesson teaching students how to solve bearing problems using trigonometry. The bearing of from is 270°, and is 7kmfrom . (c) P is located due east from W and on a bearing of understand the relationship between bearings and compass points, read off a simple bearing in a diagram, read off a simple bearing in a diagram by subtracting a given angle from 3 6 0 ∘, distinguish the bearing of 𝐵 from 𝐴 from the bearing of 𝐴 from 𝐵, use the bearing of 𝐵 from 𝐴 to work out the bearing of 𝐴 from 𝐵, Find distances using angles expressed as bearings Click Create Assignment to assign this modality to your LMS. Suitable for higher GCSE. First, we need to identify the bearing angle being shown. Given that the bearing of R from P is 025°: Post. The direction of Q from O is N60ºW. Sep 9, 2008 · How do we apply trigonometric techniques to problems involving bearings? How do we apply trigonometric techniques to three-dimensional problems? How do we draw and Jan 31, 2024 · (a) The distance AB can be measured as 5. 2 #45 A regular hexagon is inscribed in a circle with a radius of 40 centimeters. Find the distance QR . 2. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. iii. And best of all they all (well, most!) come with answers. The Maths revision video and notes on the topic of Bearings. 4. 5 km on a bearing of 112° before stopping to rest. Percentage: /100 Calculate the distance walked by junior students. A scout walks N37°E from his camp for a distance of 350 m . The plane then flies on to Wellington (W). The questions cover topics such as calculating angles between locations given their bearings and distances, determining Jan 14, 2022 · Calculate the bearing of from . 12 miles Exam Style Trig With Bearings With Answers - Free download as PDF File (. bsky. Point C is due east of B and point D is due north of C. com 31º 49º x Q24 . Measure the bearing of X from Z. Don't miss out on a prime opportunity to boost your business insights. 9 3. How do I answer trickier questions involving bearings? Bearings questions may involve the use of Pythagoras or trigonometry to find missing distances (lengths) and directions (angles) Compass bearing. 5 m 6. Question 8 On the map below the villages of Moorsholm and Castleton are marked on a scale drawing. Missing information about bearings can be worked out %PDF-1. We are learning about: Bearings with trigonometry We are learning to: Use trigonometry in questions B A = true bearing from point B to A LA B = LB A = great circle distance between points A and B, kilometers or statute miles. Back to Top. 2 KB pdf, 903. That means only two of the answer choices could be correct. They then travel from Marker 1 on a new bearing of !45°E for a further 1. (CXC) Solution (a) Using the COSINE rule, AC2 = BC BA BC BA CBA22+ −2 cos×× ×ˆ As angle CBA = 90 40°− °, then AC2 = 32 45 2 32 45 5022+ − ×× × °cos ≈1197 77. A bearing is defined as an angle measured clockwise from true north. A ship sails 22km on a bearing of zero four two degrees from point A, and a further 30km on a bearing of zero nine zero degrees to arrive at point B. pdf), Text File (. Ship A travels on a bearing of 159o and B Apr 18, 2024 · There are two ways to express a navigational heading or a “bearing”. The download includes the Questions PDF and the Answers PDF. Q is on a bearing of 130° from O, and PQ = 17 m. Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard Created Date: 10/9/2014 2:52:41 PM Title: IG-0580-Trig-Bearing and 3D- Revised Notes-2 Author: CamScanner Subject: IG-0580-Trig-Bearing and 3D- Revised Notes-2 given distance and bearing. 3. Students will be able to. 8km before stopping. D. Suitable for all the big examination boards including AQA, Edexcel, OCR and WJEC. Mathster is a fantastic resource for creating online and paper-based How to Calculate a Bearing using Trigonometry. 15 MB pdf, 910. txt) or read online for free. Find out how far he is away from his start point. [2] (b) The distance from Wellington to Gisborne is 400 kilometres. Find the bearing of D fromC. For example, the bearing of A from B is Add 180° to it to find the bearing of B from A. 8 Word Problems 1. Topic 1 TRIGONOMETRIC IDEAS The topic defines what a right triangle is, discusses application of Pythagoras Theorem, the and bearings and back bearings. A ship travels on a \(N50^{\circ}E\) course. b. minutes Score: / 40. Boat A is 28km from a lighthouse on a bearing of 053° Boat B is 19km from the same lighthouse on a bearing of 164° Calculate the distance between the two boats. 1. Angle AGW = 63. •The bearing and distance from point A to point B. North North. This may mean you struggle to find the bearing or distance required if you are missing information for an equation. 5—Unit circle definitions of sin, cos, tan. The options in the answer choices are either , , or . 80 3D Trigonometry. 5)o – 1 = 0, 0o£ £ 90o, calculate, correct to the nearest degree, the value of . Prerequisites. Point B has a bearing of 140° from point A. An airplane flies due north from Fort Myers to Sarasota, a distance of 150 miles, and then turns Oct 17, 2023 · Bearings: Worksheets with Answers. If the bearing of A from B is more than 180° Subtract 180° from it to find the bearing of B from A. Apr 4, 2018 · The Corbettmaths Practice Questions on Bearings. Working: bearing of from start from draw north arrow at opp and adj : Bearing The bearing of from is . So, we can use law of cosines to find the other side! d + (8. Previous: Area of a Triangle (Sine) Practice Questions Jun 28, 2011 · The above trigonometric formulas . If Q and R are 24 km and 32 km respectively from P:. (b) The distance OB can be measured as 10. Louis (bearing N79. The village of Eabury is located 3 miles from Moorsolm on a bearing of 195°. There is a specific set of rules about how bearings should be calculated and expressed. ii Three figure bearing. How far is he:. 6. The distance from Auckland to Wellington is Measuring and Drawing Bearings Practice Strips (Editable Word | PDF | Answers) Measuring Bearings Match-Up (Editable Word | PDF | Answers) Tour de France Bearings Activity (Editable Word | PDF | Answers) Bearings and Scale Diagrams Practice Strips (Editable Word | PDF | Answers) Drawing Scale Diagrams Practice Grid (Editable Word | PDF What is meant by trigonometry? Trigonometry is one of the most ancient subjects studied by scholars all over the world. a. This is going to require us to use the ‘Sine Rule’ to find out the angles inside the triangle. Example: Question 10 involves calculating the bearing of C from A, given that C is due south of B and A GCSE Maths Worksheet covering trigonometry type bearing questions. 7. How far does the coast guard cruiser have to travel to go directly to the tanker? c) The bearing between a plane and the Duncan airport is S55°E and from the Duncan Airport to the Nanaimo Airport the bearing is N35°E. Trigonometry is also used in geography and in TRIGONOMETRY APPLICATIONS ANGLES OF ELEVATION AND DEPRESSION what is the direct flying distance to the airstrip? Q23. C. 5) 121. (b) Calculate the distance OQ. did:plc:w6bvkwczzd4fmh7mcyzqeqww. It also shows how to calculate the "backwards" bearing from B to A by adding or subtracting 180 degrees. Objectives. Visit now! The document describes a diagram of a field ABCD. 03 MB pdf, 1. Topics included:. It defines bearing as the angle measured clockwise from north to another point. When a single angle is given, it is understood that the bearing is measured in a clockwise direction Mar 5, 2025 · In this unit learners will develop an understanding of bearings as a practical application of angle as a measure of turn. These problems represent higher exam questions with trigonometry. Exact trig ratios, ambiguous case of The bearing of Q from O is 300º. Add the location important tool for evaluating measurements of height and distance. Always express your answers as three-figure bearings (so 60\degree would be 060\degree). 3 The accurate scale drawing shows the positions of boat A and boat B. A bearing of a point B from point A is its compass direction generally quoted to the nearest degree, and stated as a number from 000 (North) to 359. Trigonometry in Bearing Calculations. 7°E. The bearing ofa buoy from a ship 8. This document contains 10 multi-part trigonometry and bearings questions involving diagrams of positions of objects such as masts, and measure the distance. What is the bearing of B from A? The first thing you need to do with any problem like this is to draw a diagram. To keep this writeup short, we won’t be deriving the formulas we use. 2km to Marker 1. solve real-world problems involving bearings and trigonometry. To find a bearing using trigonometry, create a right-angled triangle. Answer: a) To find the bearing of point A from point C, we first calculate the bearing from C to A, which is the opposite direction from Title: IG-0580-Trig-Bearing and 3D- Revised Notes-2 Author: CamScanner Subject: IG-0580-Trig-Bearing and 3D- Revised Notes-2 Save as PDF Page ID 14340 and not the same way angles are otherwise measured in trigonometry. Find: a the angle (to the nearest degree) that the ladder makes with the ground b the distance (correct to one decimal place) that the ladder reaches up the One FULL LESSON on the bearings with trigonometry (SOHCAHTOA). c b a f e d 8 m θ θ θ θ θ θ θ 5 m 4. General Evaluation. Calculate distance and bearings from diagrams of a journey. (b) Z is located on a bearing of 270° from Y and on a bearing of 172° from W. and not the same way angles are otherwise measured in trigonometry. Bearings The true bearings of a location B from a location A are obtained by measuring the angle clockwise from due north at A to the direction AB as in North A B True bearings are usually written using three digits. Compass practice I: Find bearings and distances to school objects on the school yard and then graph. 5 A ship is due south of a lighthouse. Bearings are specified in two ways: Cardinal Points: It is specified in reference to the north and south. For example, a bearing of 0 is north, while a bearing of 90 is east. 7 miles away is N64°E. If you are given the bearing from A to B draw the North line at A; STEP 3: Measure the angle of the bearing given from the North line in the clockwise direction; STEP 4: Draw a line and add the point B at the given distance; You will likely then need to use Pythagoras's theorem or trigonometry to calculate another distance; How are bearings D is on a bearing of 120° fromB. The bearing is found by calculation and then it can be a simple matter of marking the assumed position on a chart, drawing a line in the direction of the body and marking off the This document provides information and objectives about calculating and representing bearings: 1. Boat C is on a bearing of 315° from B. Comparing the observed distance to the body and the calculated distance from an assumed position provides the distance towards or away from the body. (a) Y is located 5. UNIT 35 Trigonometric Problems CSEC Revision Test 10. Bearings can be defined as the angular relationships between two or more places. [2 marks] 6(b) Work out the bearing of C from D, and give the distance they are apart. 799) 26. These sheets are good to use in class with younger students, but also make a great homework. Previous: Angles in Parallel Lines Textbook Exercise pdf, 2. Bearings are written with three digits. Contents of download: Clicker version: Normal PowerPoint lesson with which you can use a clicker / mouse / keyboard to continue animations and show solutions. 36 MB flipchart, 273. Bearings will be measured eastward from north. 63o G North A115o North 410km NOTTO SCALE 400km W (a) Calculate the bearing of Wellington fromGisborne. %PDF-1. Solving 2 days ago · Most bearing word problems involving trigonometry and angles can be reduced to finding relationships between angles and the measurements of the sides of a triangle. Solutions given. AC A ship sails from Porthampton on a bearing of 120! towards a buoy marker for 60 km and then changes course to a bearing of 150! for another 80 km until it reaches Littlehampton. If distances are given in any of the compass directions, label these sides as the adjacent or opposite sides of the triangle. Find the distance along each route. After sometime, A is 9km from P and the bearing of B from A is 256o. b) The distance between point A and point C, to the nearest kilometre. - Calculating Bearings Choosing a Trigonometric Ratio to Use Calculating Angles & Lengths Using Trigonometry Angles of Elevation & Depression Solving Real-Life Problems Using Trigonometry 3D Trigonometry Problems National 5; Using bearings in trigonometry Bearings. A double-sided PDF worksheet with questions and answers on Bearings. Example: Jack walks from town A for 10 miles on a bearing of 20°. Mar 1, 2025 · Bearings. Oct 17, 2024 · Add 180° to it to find the bearing of B from A. If the inverse cosine function returns a value in radians for the distance calculation, substitute the following 4. Trigonometry Sub-Topic Bearings Booklet Question Paper 3. Mark Y on the page. BusinessDomains. 5. Note: The direction of P from O is N65ºE. Always draw and measure bearings clockwise. (6 marks bearing and trig worksheet - Free download as PDF File (. e. social. Skills learned in solving triangles can be applied in solving other geometric planes and to navigate by air, sea or land. Bunter estimates the angles of depressions to be 380 Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard Past paper questions by topic with mark schemes, model answers and video solutions for Bearings (Higher) of Edexcel Maths GCSE (9-1). Can be manipulated using Algebra. Mathster; Corbett Maths; Mathster keyboard_arrow_up. (a) Given that 5cos ( + 8. use angle rules and/or trigonometry to calculate any angles that are required. Draw a scale diagram using a scale of 1 cm to 10 km and find the distance and bearing of Littlehampton from Porthampton. A plane flies from Auckland (A) to Gisborne (G) on a bearing of 115 . The navigation used on land, sea or air was done using bearing (at least before GPS was invented and widely used). fyxnii wdsmpk mte airrnlq qbavtds cos rrl jhdjsoo kylx tjhdvwh beizf yurvxxp hwjxg kitg rnmg