WAEC Mathematics 1994 Question 42

Question 42

Trigonometry

A ladder 6m long leans against a vertical wall so that it makes an angle of 60° with the wall. Calculate the distance of the foot of the ladder from the wall.

  1. A.3m
  2. B.6m
  3. C.2√3m
  4. D.3√3m
  5. E.6√3m
Show the answer and explanation

Answer: D (3√3m)

Explanation

The distance from the wall is opposite the 60° angle at the wall: 6 sin 60° = 6 × √3/2 = 3√3 m.