JAMB Mathematics 2006 Question 36

Question 36

Trigonometry

In the diagram above, PQ = 10cm, PS = 8cm and ∠PSR is 60° while ∠SRQ is a right angle. Find SR.

Diagram for this question
  1. A.14cm
  2. B.14√3cm
  3. C.10cm
  4. D.10√3cm
Show the answer and explanation

Answer: A (14cm)

Explanation

Drop a perpendicular from P to N on SR. SN = 8 cos 60° = 4cm and NR = PQ = 10cm, so SR = 14cm.