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WAEC Mathematics 2012 Question 18

Question 18

Trigonometry

In the diagram, |QR| = 10 m, |SR| = 8 m, ∠QPS = 30°, ∠QRP = 90° and |PS| = x. Find x.

Diagram for this question
  1. A.1.32 m
  2. B.6.32 m
  3. C.9.32 m
  4. D.17.32 m
Show the answer and explanation

Answer: C (9.32 m)

Explanation

tan 30° = 10/(x + 8), so x + 8 = 10/0.5774 = 17.32 and x = 9.32 m.