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WAEC Mathematics 2025 Question 36

Question 36

Trigonometry

The angle of elevation of the top P of a ladder PQ from its base Q, 12 m away from a wall is 36°. Find, correct to the nearest metre, the length of the ladder.

  1. A.9 m
  2. B.12 m
  3. C.15 m
  4. D.17 m
Show the answer and explanation

Answer: C (15 m)

Explanation

cos 36° = 12/length, so the length = 12 ÷ 0.809 ≈ 14.8 m ≈ 15 m.