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GCE Mathematics 1989 Question 12

Question 12

Trigonometry

The angle of elevation of X from Y is 30°. If |XY| = 40m, how high is X above the level of Y?

  1. A.10m
  2. B.20m
  3. C.20√3m
  4. D.40m
  5. E.50m
Show the answer and explanation

Answer: B (20m)

Explanation

XY is the line of sight (hypotenuse), so the height = 40 sin 30° = 40 × ½ = 20 m.