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 6.5 meters 10.9 meters 4.2 meters 2. 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? 21.57 degrees 6.89 degrees 68.4 degrees 42.92 degrees 3. 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. 20 18 19.5 22.8 31 4. 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? 14 m 13 m 11 m 12 m 5. 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? 40 m 20 m 80 m 60 m 6. 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. 90m 6m 12m 20m 10m 7. 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? 5.82m 4.90m 7.53m 6.70m 8. 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° 20.5° 19.3° 70.7° 9. 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 18.604, 42.025 19.604, 40.045 15.406, 20.445 17.406, 21.455 10. 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 meters 45 meters 53.6 meters 83.4 meters 11. 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. 90 55 23 45 12. 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) 43 34 25 38 13. 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? 56° 25° 98° 69.5° 14. 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 10.2km 5.76km 57.6km 102km 15. 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 m 30 m 55 m 120 m 16. 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 57.1 meters 87 meters 17. Find side a. 8.04 7.50 8.65 10.26 18. The value of AB in the given figure is: √2 m 2√2 m 1 m 2 m 19. 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? 10.8 meters 8.67 meters 6.9 meters 7.5 meters 20. 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 m 40 m 20m 30 m 1 out of 20 Time is Up! Time's up