WAEC Mathematics 1988 Question 10

Question 10

Trigonometry

A ladder 9m long against a vertical wall, making an angle of 64° with the horizontal ground. Calculate, correct to one decimal place, how far the foot of the ladder is from the wall.

  1. A.4.0m
  2. B.5.8m
  3. C.7.1m
  4. D.8.1m
  5. E.18.5m
Show the answer and explanation

Answer: A (4.0m)

Explanation

Distance from wall = 9 cos 64° = 9 × 0.4384 = 3.95 ≈ 4.0 m.