WAEC Mathematics 1999 Question 28

Question 28

Trigonometry

From the top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff.

  1. A.14.9°
  2. B.15.5°
  3. C.74.5°
  4. D.75.1°.
Show the answer and explanation

Answer: A (14.9°)

Explanation

tan θ = 20/75 ≈ 0.2667, so θ ≈ 14.9°.