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WAEC Mathematics 2004 Question 10

Question 10

Trigonometry

The angle of elevation of the top of a tower from a point on the ground which is 36m away from the foot of the tower is 30°. Calculate the height of the tower.

  1. A.62.35m
  2. B.20.78m
  3. C.18.00m
  4. D.10.39
Show the answer and explanation

Answer: B (20.78m)

Explanation

Height = 36 tan 30° = 36 × 0.5774 ≈ 20.78 m.