# Secondary 3 Express Trigonometry - Angle Of Elevation And Depression

10 Questions | Total Attempts: 2910  Settings  Secondary 3 Express Trigonometry - Angle of Elevation and Depression

• 1.
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.
• A.

8.08m

• B.

7.00m

• C.

12.1m

• D.

24.2m

• 2.
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.
• A.

45

• B.

55

• C.

90

• D.

23

• 3.
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.
• A.

64.2

• B.

45.6

• C.

23.9

• D.

53.1

• 4.
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 U and 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.
• A.

11.2

• B.

38.7

• C.

22.3

• D.

19.4

• 5.
Man A fixes some wire on the ground to the top of a 2.25m pole at an angle of elevation of 40°. Man B fixes some wire as well but at the opposite end of man A and at an angle of elevation of 60°. Express as a percentage, the length of wire used by man B to the total length of wire used by both men, correct to 3 significant figures.
• A.

23.0

• B.

42.6

• C.

19.3

• D.

39.4

• 6.
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?
• A.

5.82m

• B.

4.90m

• C.

6.70m

• D.

7.53m

• 7.
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.
• A.

59.7

• B.

54.3

• C.

35.7

• D.

30.3

• 8.
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°.a) Find the horizontal distance between the aeroplane and Changi Airport when the aeroplane begins its landing, correct to 3 significant figures.b) Hence, find the distance CP, correct to 3 significant figures.
• A.

5.67km , 5.76km

• B.

56.7km , 57.6km

• C.

9.85km , 10.2km

• D.

98.5km , 102km

• 9.
In the diagram below, buildings P and Q are 50m apart. The angle of elevation of T from R is 53° and the angle of depression of V from R is 41°. Determine the height TV of building Q, correct to 3 significant figures.
• A.

95.3m

• B.

73.6m

• C.

110m

• D.

83.4m

• 10.
In the diagram below, OP is a painting hung on a wall OQ. S and R are points on the level ground such that OR = PS = 8m. The angle of elevation of the top frame, O, of the painting from R is 58° while that of lower frame, P, of the painting from S is 33°. Find the height of the painting, correct to 3 significant figures.
• A.

2.43m

• B.

5.23m

• C.

2.47m

• D.

7.61m

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