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WAEC Mathematics 2002 Question 33

Question 33

Trigonometry

The angle of depression of a point Q from a vertical tower PR, 30m high, is 40°. If the foot P of the tower is on the same horizontal level as Q, find, correct to 2 decimal places, |PQ|.

  1. A.35.75m
  2. B.25.00m
  3. C.22.98m
  4. D.19.28m
Show the answer and explanation

Answer: A (35.75m)

Explanation

tan 40° = 30/PQ, so PQ = 30 ÷ 0.8391 ≈ 35.75 m.