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WAEC Mathematics 2004 Question 50

Question 50

Trigonometry

A point on the ground is 5m away from the foot of a vertical wall 7 m high, Calculate, correct to the nearest degree, the angle of depression of the point from the top of the wall

  1. A.36°
  2. B.44°
  3. C.46°
  4. D.54°
Show the answer and explanation

Answer: D (54°)

Explanation

The angle of depression equals the angle of elevation from the point: tan θ = 7/5 = 1.4, so θ ≈ 54°.