19/03/2020Angles of Elevation and Depression(Study by Topics Junior Class) 0Comments by Gate Academy Welcome to your Angles of Elevation and Depression(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. 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? 13 meters 10.9 meters 6.5 meters 4.2 meters2. 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. 8.08m 7.00m 12.1m 24.2m3. A lighthouse on a cliff, and a sail boat at water level. The height of the light to the base of the cliff is 80m. The sail boat is 120m from the base of the cliff. What is the angle of elevation from the boat to the light to the nearest degree? (number only) 34 43 38 254. Find x. 21.7 9.1 10.64 11.95. 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. 35.7 54.3 59.7 30.36. 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? 4.1 m 3.6 m 7.1 m 6 m 6. 3 m7. 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. 2.4m 12m 6m 1.2m 36m8. Find the distance of a boat from a lighthouse if the lighthouse is 100 meters tall, and the angle of depression is 6°. 951.4 901 765 8539. The angle of elevation of the top of a building from a point 80m away on a level ground is 25°. Calculate the height of the building to the nearest metre. 33m 50m 37m 38m 30m10. In 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 distance CP, correct to 3 significant figures 57.6km 10.2km 102km 5.76km11. 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? 20m 40 m 30 m 10 m12. 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? 12 m 14 m 13 m 11 m13. 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) 125√3 50√3 150√3 75√314. A skier took 56s to traverse down the snowy slopes of a 300m high hill. Using the diagram below, if the skier traversed from point S to point Uand the angle of depression from S to U is 60°, find the speed, in km/h, at which he came down the slopes. Correct the answer to 3 significant figures. 19.4 38.7 22.3 11.215. 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. 180 m 190 m 220 m 200 m 210 m16. 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? 45 meters 83.4 meters 53.6 meters 102.5 meters17. 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? 20m 10m 40m 30m 5m18. 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? 70.7° 20.5° 69.5° 19.3°19. 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? 3.6 meters 29.2 meters 10.6 meters 27.5 meters20. Find side a. 8.04 7.50 10.26 8.6521 out of 20Time is Up!