WAEC Mathematics 1993 Question 34

Question 34

Trigonometry

The angle of elevation of the top of a tower from a point on the horizontal ground, 40m away from the foot of the tower is 30°. Find the height of the tower.

  1. A.20m
  2. B.40√3/3 m
  3. C.20√3m
  4. D.40√3m
  5. E.60cm
Show the answer and explanation

Answer: B (40√3/3 m)

Explanation

height = 40 × tan 30° = 40 × 1/√3 = 40√3/3 m.