WAEC Mathematics 2022 Objective — Question 28

Question 28 of 50 from the West African Examinations Council (WAEC) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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.

A. 71°
B. 47°Correct
C. 19°
D. 8°

Explanation

Height difference = 12−1.4 = 10.6m. tanθ = 10.6/10 = 1.06. θ = tan⁻¹(1.06) ≈ 47°.

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