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WAEC Mathematics 2002 Question 38

Question 38

Trigonometry

In the diagram, QRT is a straight line. If angle PTR = 90°, angle PRT = 60°, angle PQR = 30° and |PQ| = 6√3 cm, calculate |RT|.

Diagram for this question
  1. A.0.3cm
  2. B.√3/2 cm
  3. C.3cm
  4. D.3√3 cm
Show the answer and explanation

Answer: C (3cm)

Explanation

PT = 6√3 sin 30° = 3√3 cm. In triangle PRT, tan 60° = PT/RT, so RT = 3√3/√3 = 3 cm.