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WAEC Mathematics 2020 Question 25

Question 25

Trigonometry

A fence 2.4 m tall, is 10 m away from a tree of height 16 m. Calculate the angle of elevation of the top of the tree from the top of the fence.

  1. A.76.11°
  2. B.53.67°
  3. C.52.40°
  4. D.51.32°
Show the answer and explanation

Answer: B (53.67°)

Explanation

Above the fence top the tree rises 16 − 2.4 = 13.6 m over 10 m. tan θ = 1.36, so θ ≈ 53.67°.