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WAEC Mathematics 2009 Question 17

Question 17

Mensuration of Plane Shapes

PQRS is a trapezium. QR//PS, |PQ| = 5 cm, |QR| = 6 cm, |PS| = 10 cm and angle QPS = 42°. Calculate the perpendicular distance between the parallel sides.

Diagram for this question
  1. A.3.35 cm
  2. B.3.72 cm
  3. C.4.50 cm
  4. D.4.62 cm
Show the answer and explanation

Answer: A (3.35 cm)

Explanation

Height = 5 sin 42° = 5 × 0.6691 ≈ 3.35 cm.