Welcome to your Angles of Elevation and Depression(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. Consider a right angle triangle XYZ, XY = a, YZ = b, XZ = 25.6 and angle of X is 37° then the values of a and b respectively are 17.406, 21.455 18.604, 42.025 19.604, 40.045 15.406, 20.445 2. The angle of elevation of the top of a tower from a point Q at ground level is 45°. If the tower is 20m high, how far is the bottom of the tower from Q? 10m 30m 20m 5m 40m 3. 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? 6 m 4.1 m 6. 3 m 3.6 m 7.1 m 4. A man is walking along a straight road. He notices the top of a tower makes an angle of 60^{o} 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 5. A balloon is pegged to the ground by a rope. The rope is 110m long, and the balloon is 70m horizontally along the ground from the peg. What is the angle of elevation from the peg to the basket of the balloon? 29 50 21 58 6. 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? 6.5 meters 4.2 meters 10.9 meters 13 meters 7. From the top of a 20 m high tower, the angle of elevation of the top of a building is 60^{0} and the angle of depression of its foot is 45^{0}. What is the height of the building? 120 m 30 m 55 m 90 m 8. In the diagram below, a diver is to retrieve an object that is 14m away from the wall of a swimming pool. It is given that the angle of depression of the object from the pool platform is 30°. Find the vertical distance the diver has to swim in order to retrieve the object, correct to 3 significant figures. 12.1m 8.08m 24.2m 7.00m 9. The angle of depression of a spot on the ground, from the top of a wall 10 meters tall, is 70 degrees. How far along the ground, is the spot from the base of the wall? 10.6 meters 29.2 meters 27.5 meters 3.6 meters 10. The string of a kite is 250 m long and it makes an angle of 60^{0} with the horizontal. What is the height of the kite? (Assume there is no slackness in the string) 150√3 75√3 125√3 50√3 11. A man who is 2m tall is looking at the top of a pole at an angle of elevation of 45°. If the man is 10m away from the foot of the pole, calculate the length of the pole. 12m 90m 10m 20m 6m 12. The value of AB in the given figure is: 2√2 m √2 m 2 m 1 m 13. Using the diagram below, find the angle of elevation of a kite on a 50m string flying 40m vertically above the ground. Correct the answer to 1 decimal place. 64.2 45.6 53.1 23.9 14. the diagram below, an aeroplane, P, cruising at an altitude of 10km begins its landing at Changi Airport, denoted by C, at an angle of depression of 10°.Find the horizontal distance between the aeroplane and Changi Airport when the aeroplane begins its landing, correct to 3 significant figures 9.85km 5.67km 98.5km 56.7km 15. Point A lies on the ground, 40 meters away from the foot of a building. The angle of elevation of the top of the building from A is 30 degrees. What is the height of the building? 23.1 meters 20 meters 34.6 meters 59.3 meters 16. 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 45^{0}. What is the height of the tree? 10 m 40 m 20m 30 m 17. From the top of a tower of height 75 m, a guard sees two prisoners, both due west of him. If the angles of depression of the two prisoners are 10^{o} and 17^{o}, calculate the distance between them. 220 m 200 m 180 m 190 m 210 m 18. 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 12 m 14 m 13 m 19. 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 45^{0}. What is the height of the tree? 10 m 20m 40 m 30 m 20. In the diagram below, a closed-circuit security camera, C, in a museum is mounted on a wall 9m above the floor, G. What is the angle of depression of the exhibit, E, from C, given that E is 2m above the floor, H, and 12m from the wall? Correct the answer to 1 decimal place. 30.3 54.3 35.7 59.7 1 out of 20 Time is Up! Time's up