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WAEC Mathematics 2022 Question 28

Question 28

Trigonometry

A boy 1.4m tall, stood 10m away from a tree of height 12m. Calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the boy's eyes.

  1. A.71°
  2. B.47°
  3. C.19°
  4. D.8°
Show the answer and explanation

Answer: B (47°)

Explanation

Above eye level the tree rises 12 − 1.4 = 10.6 m. tan θ = 10.6/10 = 1.06, so θ ≈ 47°.