Welcome to your Angles of Elevation and Depression(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. 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.35.730.359.754.32. Find x. 9.111.910.6421.73. A ladder of length 6 m leans against a vertical wall so that the base of the ladder is 2 m from the wall. Calculate the angle between the ladder and the wall.1822.83119.5204. 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?83.4 meters45 meters53.6 meters102.5 meters5. 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.10m90m12m6m20m6. The angle of elevation of the top of a building is 25 from a point 80m away on level ground. Calculate the height of the building to 2 significant figures.0.37m3.70m3700m37m370m7. 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?6.70m7.53m5.82m4.90m8. The shadow of a tower standing on level ground is found to be 40 m longer when the sun's altitude becomes 30^{0} and 45^{0}. Find the height of the tower.90 m120 m55 m30 m9. 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?2958502110. From the top of a cliff 90 m high, the angles of depression of the top and bottom of a tower observed to be 30^{0} and 60^{0} respectively. What is the height of the tower?20 m80 m60 m40 m11. If the angle of depression of A from B is 42°, what is the angle of elevation of B from A?132°84°42°48°138°12. Find the distance of a boat from a lighthouse if the lighthouse is 100 meters tall, and the angle of depression is 6°. 901765951.485313. 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?25°69.5°98°56°14. 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 m30 m40 m20m15. 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?10m65m35m15m12m16. 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?10.9 meters4.2 meters6.5 meters13 meters17. 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.7.00m24.2m8.08m12.1m18. 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√350√375√3150√319. In a right angled triangle ABC, the sides of the triangle are A < B < C. The hypotenuse of the triangle isBCAB²20. 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?13 m11 m14 m12 m21 out of 20Time is Up!