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WAEC Mathematics 2019 Question 38

Question 38

Trigonometry

From the top of a vertical cliff 20 m high a boat at sea can be sighted 75 m away and on the same horizontal position as the foot of the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

  1. A.56°
  2. B.75°
  3. C.16°
  4. D.15°
Show the answer and explanation

Answer: D (15°)

Explanation

tan θ = 20/75 = 0.267, so θ ≈ 14.9°, which is 15° to the nearest degree.