Secondary 3 Express Trigonometry - Angle Of Elevation And Depression

10 Questions | Total Attempts: 2910

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Secondary 3 Express Trigonometry - Angle Of Elevation And Depression

Secondary 3 Express Trigonometry - Angle of Elevation and Depression


Questions and Answers
  • 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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