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WAEC Mathematics 2017 Question 27

Question 27

Trigonometry

A stationary boat is observed from a height of 100 m. If the horizontal distance between the observer and the boat is 80 m, calculate, correct to two decimal places, the angle of depression of the boat from the point of observation.

  1. A.36.87°
  2. B.39.70°
  3. C.51.34°
  4. D.53.13°
Show the answer and explanation

Answer: C (51.34°)

Explanation

tan θ = 100/80 = 1.25, so θ ≈ 51.34°.