JAMB Mathematics 2007 Question 45

Question 45

Trigonometry

A man 40 m from the foot of a tower observes the angle of elevation of the tower to be 30°. Determine the height of the tower.

  1. A.40√3/3 m
  2. B.20 m
  3. C.40√3 m
  4. D.40 m
Show the answer and explanation

Answer: A (40√3/3 m)

Explanation

height = 40 tan 30° = 40/√3 = 40√3/3 m.