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WAEC Mathematics 2007 Question 32

Question 32

Triangles and Quadrilaterals

In the diagram, |PQ| = 4 cm, |QR| = 6 cm, |RS| = 12 cm and ∠QRS = 90°. Find the value of x.

Diagram for this question
  1. A.27
  2. B.26
  3. C.18
  4. D.13
Show the answer and explanation

Answer: D (13)

Explanation

tan ∠PSR = 10/12 gives 39.8°, and tan ∠QSR = 6/12 gives 26.6°. x = 39.8° − 26.6° ≈ 13°.