WAEC Mathematics 2017 Theory — Question 5
Question 5 of 25 from the West African Examinations Council (WAEC) Mathematics 2017 Theory paper, with the correct answer and a full explanation.
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3(a) The angle of depression of a point P on the ground from the top T of a building is 23.6°. If the distance from P to the foot of the building is 50m, calculate, correct to the nearest metre, the height of the building.
Model answer
Using tan23.6° = H/50 (H = height of building, 50m = horizontal distance): H = 50 x tan(23.6°) = 50 x 0.4369 ≈ 21.84m ≈ 22m to the nearest metre.
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