WAEC Mathematics 2006 Question 50

Question 50

Trigonometry

A ladder 16 m long leans against an electric pole. If the ladder makes an angle of 65° with the ground, how far up the electric pole does its top reach?

  1. A.6.8 m
  2. B.14.5 m
  3. C.17.7 m
  4. D.34.3 m
Show the answer and explanation

Answer: B (14.5 m)

Explanation

Height = 16 × sin 65° = 16 × 0.9063 ≈ 14.5 m.