Welcome to your Angles of Elevation and Depression(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. A 1.8m tall man is walking inside a tunnel. He shines the torchlight on his helmet upward at an angle of 35° to a point Q at the top of the tunnel as shown in the diagram below. Given that the horizontal distance of OP is 7m, what is the height of the tunnel, correct to 3 significant figures? 4.90m 6.70m 7.53m 5.82m 2. 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. 7.00m 24.2m 12.1m 8.08m 3. 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? 85 19 36 46 4. 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 56.7km 98.5km 5.67km 9.85km 5. A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall? 6.89 degrees 21.57 degrees 42.92 degrees 68.4 degrees 6. 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? 30m 10m 40m 20m 5m 7. A lighthouse on a cliff, and a sail boat at water level. The height of the light to the base of the cliff is 85m. The sail boat is 110m from the base of the cliff. What is the angle of depression from the light to the boat to the nearest degree? 19 27 38 15 8. Find side a. 8.65 10.26 7.50 8.04 9. 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. 59.7 30.3 35.7 54.3 10. 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? 35m 10m 65m 12m 15m 11. 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? 177 meters 58.2 meters 87 meters 57.1 meters 12. 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 10.9 meters 4.2 meters 13 meters 13. 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? 10 m 20m 40 m 30 m 14. Find x. 9.1 21.7 11.9 10.64 15. 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° 16. If the angle of depression of A from B is 42°, what is the angle of elevation of B from A? 138° 84° 48° 42° 132° 17. A 20-foot ladder is leaning against a wall. The foot of the ladder is 7 feet from the base of the wall. What is the approximate measure of the angle the ladder forms with the ground? 20.5° 69.5° 19.3° 70.7° 18. Considering a right-angled triangle ABC, if opposite side is '12' and adjacent side of triangle is supposed as 'x' then A 48° is 19.31 18.31 15.31 17.31 19. The shadow of a tower standing on level ground is found to be 40 m longer when the sun's altitude becomes 300 and 450. Find the height of the tower. 55 m 120 m 30 m 90 m 20. 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? 21 29 50 58 1 out of 20 Time is Up! Time's up