JAMB Mathematics 1995 Question 35

Question 35

Trigonometry

A schoolboy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank is 60°. Calculate the height of the water tank.

  1. A.60m
  2. B.30√3m
  3. C.20√3m
  4. D.10√3m
Show the answer and explanation

Answer: B (30√3m)

Explanation

tan 60° = height/30, so height = 30 × √3 = 30√3 m.