WAEC Mathematics 2024 Question 22

Question 22

Trigonometry

A ladder 15 m long leans against a vertical pole, making an angle of 72° with the horizontal. Calculate, correct to one decimal place, the distance between the foot of the ladder and the pole.

  1. A.15.8 m
  2. B.14.3 m
  3. C.4.9 m
  4. D.4.6 m
Show the answer and explanation

Answer: D (4.6 m)

Explanation

The distance along the ground is the adjacent side: 15 cos 72° = 15 × 0.309 ≈ 4.6 m.