Welcome to your Angles of Elevation and Depression(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. Find the distance of a boat from a lighthouse if the lighthouse is 100 meters tall, and the angle of depression is 6°. 901 951.4 853 765 2. A photographer points his camera to the top of a building forming an angle of elevation of 50a. If he stands 70 meters from the building, how tall is the building? 102.5 meters 83.4 meters 45 meters 53.6 meters 3. Find side a. 8.65 8.04 7.50 10.26 4. The value of AB in the given figure is: 1 m 2√2 m √2 m 2 m 5. A tree stands vertically on the ground. From a point on the ground which is 30 m away from the foot of the tree, the angle of elevation of the topmost point of the tree is found to be 450. What is the height of the tree? 40 m 20m 30 m 10 m 6. A man is walking along a straight road. He notices the top of a tower makes an angle of 60o with the ground at the point where he is standing. If the height of the tower is h = 15 m, then what is the distance of the man from the tower? 8.67 meters 7.5 meters 10.8 meters 6.9 meters 7. The angle of elevation of the top of a tree from a point on the level ground is 45°. If the tree is 12m high, calculate the length from the foot of the tree to the point on the level ground where this observation was made. 1.2m 2.4m 36m 6m 12m 8. Two poles of heights 6 m and 11 m stands vertically upright on a plane ground. If the distance between their feet is 12 m, then what is the distance between their tops? 11 m 14 m 12 m 13 m 9. The shadow of a tower is 15 m when the sun's elevation is 300. What is the length of the shadow when the sun's elevation is 600? 10 m 5 m 15 m 20 m 10. A tree is 200 ft tall. If a man is standing 75 ft away from the tree, what is the angle of elevation to the bird he is looking at? 69.5° 98° 56° 25° 11. In a ΔABC right angled at B, sin A = 1/2, if BC = 6 cm then the value of AC is: 6 cm 12 cm 9 cm 3cm 12. Two poles of heights 6 m and 11 m stands vertically upright on a plane ground. If the distance between their feet is 12 m, then what is the distance between their tops? 14 m 12 m 11 m 13 m 13. Point B lies on a bearing of 130 degrees, 12 meters from point A and point C lies on a bearing of 220 degrees, 5 meters away from point B. What is the distance from point A to point C? 4.2 meters 13 meters 10.9 meters 6.5 meters 14. A wheelchair ramp needs to be pitched at 30o. If the ramp is to access a 25-inch step to a door, what will the length of the ramp be? (Round to the nearest inch.) 85 inches 50 inches 86 inches 52 inches 15. A ladder of length 8 m rests against a wall so that the angle between that ladder and the wall is 31°. However far is the base of the ladder form the wall? 3.6 m 6. 3 m 4.1 m 7.1 m 6 m 16. In a right angled triangle ABC, the sides of the triangle are A < B < C. The hypotenuse of the triangle is B² C A B 17. From the top of a building, a boy is watching a lizard on the ground. If the angle of depression of the lizard is 45° and the lizard is 15m away from the building, how high is the building to the nearest metres? 15m 35m 12m 10m 65m 18. A man stands at the top of a building 40 meters tall. He observers that the angle of elevation of the top of a tower, 50 meters away, is 20 degrees. What is the height of the tower? 87 meters 57.1 meters 177 meters 58.2 meters 19. The string of a kite is 250 m long and it makes an angle of 600 with the horizontal. What is the height of the kite? (Assume there is no slackness in the string) 50√3 75√3 125√3 150√3 20. A man on the ground looking up at a plane, and a pilot looking down at the man on the ground. The plane is 300 metres off the ground, and the angle of depression is approximately 19 degrees. What is the angle of elevation to the nearest whole degree? 19 85 46 36 1 out of 20 Time is Up! Time's up