WAEC Mathematics 2019 Objective — Question 38
Question 38 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.
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38. From the top of a vertical cliff 20m high, a boat at sea can be sighted 75m 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.
- A. 56°
- B. 75°
- C. 16°
- D. 15°Correct
Explanation
tanθ = 20/75 = 0.2667 ⇒ θ = tan⁻¹(0.2667) ≈ 14.93° ≈ 15° (to the nearest degree).
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