WAEC Mathematics 2014 Objective — Question 38

Question 38 of 50 from the West African Examinations Council (WAEC) Mathematics 2014 Objective paper, with the correct answer and a full explanation.

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

A. 33°
B. 32°
C. 27°Correct
D. 26°

Explanation

Height above eye level = 8.3−1.7=6.6m. tanθ=6.6/13=0.5077, θ=tan⁻¹(0.5077)≈27° (to the nearest degree).

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