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WAEC Mathematics 2014 Question 38

Question 38

Trigonometry

A man's eye level is 1.7 m above the horizontal ground and 13 m from a vertical pole. If the pole is 8.3 m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes.

  1. A.33°
  2. B.32°
  3. C.27°
  4. D.26°
Show the answer and explanation

Answer: C (27°)

Explanation

The top is 8.3 − 1.7 = 6.6 m above eye level. tan θ = 6.6/13 ≈ 0.5077, so θ ≈ 27°.