Welcome to your Angles of Elevation and Depression(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. 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 meters57.1 meters58.2 meters177 meters2. 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 figures5.67km56.7km98.5km9.85km3. 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?461985364. 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.45.623.953.164.25. 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.3700m0.37m37m370m3.70m6. 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) 433425387. In a ΔABC right angled at B, sin A = 1/2, if BC = 6 cm then the value of AC is:12 cm9 cm6 cm3cm8. 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 m30 m10 m20m9. 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?68.4 degrees21.57 degrees42.92 degrees6.89 degrees10. 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. 30 m120 m90 m55 m11. 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?5.82m4.90m6.70m7.53m12. 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.12m2.4m36m6m1.2m13. 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.12m6m20m90m10m14. Using the diagram below, determine the angle of elevation of the top of the flagpole 10m high from an observer who is 10m away from the flagpole.9023455515. 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?1538271916. 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 meters45 meters53.6 meters83.4 meters17. 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?19.3°69.5°70.7°20.5°18. 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 m30 m10 m20m19. 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?7.1 m4.1 m6 m6. 3 m3.6 m20. 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 m12 m14 m13 m21 out of 20Time is Up!
