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WAEC Mathematics 2023 Question 24

Question 24

Trigonometry

Mrs. Kebeh stands at a distance of 110 m away from a building of vertical height 58 m. If Kebeh is 2 m tall, find the angle of elevation of the top of the building from her eye.

  1. A.28°
  2. B.27°
  3. C.26°
  4. D.20°
Show the answer and explanation

Answer: B (27°)

Explanation

Above her eye level the building rises 58 − 2 = 56 m. tan θ = 56/110 = 0.509, so θ ≈ 27°.