Welcome to your Angles of Elevation and Depression(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. From the top of a cliff 90 m high, the angles of depression of the top and bottom of a tower observed to be 300 and 600 respectively. What is the height of the tower? 80 m 40 m 60 m 20 m2. Find side a. 8.65 10.26 7.50 8.043. 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 5.67km 9.85km 98.5km4. 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? 40m 5m 30m 20m 10m5. 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 68.4 degrees 42.92 degrees 6.89 degrees6. 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 19.604, 40.045 17.406, 21.455 18.604, 42.025 15.406, 20.4457. 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? 10 m 20m 30 m 40 m8. The value of AB in the given figure is: √2 m 1 m 2 m 2√2 m9. 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 102km 5.76km 10.2km10. Considering a right-angled triangle ABC, if opposite side is '12' and adjacent side of triangle is supposed as 'x' then A 48° is 15.31 17.31 18.31 19.3111. 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 23 45 5512. 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. 31 18 19.5 22.8 2013. 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? 29.2 meters 10.6 meters 27.5 meters 3.6 meters14. 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? 69.5° 25° 56° 98°15. 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 11 m 13 m16. A man is walking along a straight road. He notices the top of a tower makes an angle of 60o 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 7.5 meters 6.9 meters17. In a right angled triangle ABC, the sides of the triangle are A < B < C. The hypotenuse of the triangle is B² C A B18. 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. 0.37m 370m 37m 3700m 3.70m19. 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 22.3 38.7 11.220. 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° 19.3° 70.7° 20.5°21 out of 20Time is Up!
