Welcome to your Angles of Elevation and Depression(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. 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. 36m 12m 2.4m 6m 1.2m 2. 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? 69.5° 70.7° 20.5° 19.3° 3. 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 5m 20m 40m 30m 4. 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√3 125√3 50√3 75√3 5. 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 14 m 12 m 13 m 6. 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? 15 19 27 38 7. 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. 23 90 45 55 8. In a ΔABC right angled at B, sin A = 1/2, if BC = 6 cm then the value of AC is: 12 cm 9 cm 3cm 6 cm 9. 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? 40 m 10 m 20m 30 m 10. Find side a. 8.04 8.65 10.26 7.50 11. 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? 15m 10m 65m 35m 12m 12. The value of AB in the given figure is: √2 m 2√2 m 2 m 1 m 13. 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. 120 m 55 m 90 m 30 m 14. 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 15.406, 20.445 18.604, 42.025 19.604, 40.045 15. 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 9.85km 98.5km 5.67km 16. 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? 6.9 meters 8.67 meters 7.5 meters 10.8 meters 17. Find the distance of a boat from a lighthouse if the lighthouse is 100 meters tall, and the angle of depression is 6°. 901 951.4 765 853 18. 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 5.76km 10.2km 102km 19. If the angle of depression of A from B is 42°, what is the angle of elevation of B from A? 138° 132° 42° 84° 48° 20. In a right angled triangle ABC, the sides of the triangle are A < B < C. The hypotenuse of the triangle is C A B B² 1 out of 20 Time is Up! Time's up