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WAEC Mathematics 2011 Question 49

Question 49

Trigonometry

A boy looks through a window of a building and sees a mango fruit on the ground 50 m away from the foot of the building. If the window is 9 m from the ground, calculate, correct to the nearest degree, the angle of depression of the mango from the window.

  1. A.9°
  2. B.10°
  3. C.11°
  4. D.12°
Show the answer and explanation

Answer: B (10°)

Explanation

tan θ = 9/50 = 0.18, so θ ≈ 10.2° ≈ 10°.