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WAEC Mathematics 1995 Question 44

Question 44

Trigonometry

In the diagram below, ∠PRQ = 90°, ∠QPR = 30° and |PQ| = 12cm. Find y.

Diagram for this question
  1. A.6cm
  2. B.5cm
  3. C.4cm
  4. D.3cm
  5. E.2cm
Show the answer and explanation

Answer: A (6cm)

Explanation

y is opposite the 30° angle and PQ is the hypotenuse, so y = 12 sin 30° = 12 × ½ = 6 cm.