passwella.
Menu

JAMB Mathematics 1986 Question 34

Question 34

Trigonometry

The angle of elevation of the top of a vertical tower 50 metres high from a point X on the ground is 30°. From a point Y on the opposite side of the tower, the angle of elevation of the top of the tower is 60°. Find the distance between the points X and Y.

  1. A.14.43m
  2. B.57.73m
  3. C.101.03m
  4. D.115.47m.
Show the answer and explanation

Answer: D (115.47m.)

Explanation

X is 50/tan 30° = 86.60m from the foot and Y is 50/tan 60° = 28.87m from it, on opposite sides. XY = 86.60 + 28.87 = 115.47m.