WAEC Mathematics 1996 Question 43

Question 43

Trigonometry

The angle of elevation of the top X of a vertical pole from a point P on a level ground is 60°. The distance from P to the foot of the pole is 55m. Without using tables, find the height of the pole.

  1. A.50/3 m
  2. B.50m
  3. C.55√3m
  4. D.60m
  5. E.65m
Show the answer and explanation

Answer: C (55√3m)

Explanation

tan 60° = height/55, so height = 55 × tan 60° = 55√3 m.