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In the diagram above, PQ = 10 cm, PS = 8 cm and ∠PSR is...

Mathematics
JAMB 2006
In the diagram above, PQ = 10 cm, PS = 8 cm and ∠PSR is 60o while ∠SRQ is a right angle. Find SR
  • A. 14 cm
  • B. 14√3 cm
  • C. 10 cm
  • D. 10√3 cm
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Correct Answer: Option A
Explanation
In ΔPST; cos 60 = ST/8
ST = 8cos 60
ST = 8 x 1/2 = 4
TR = 10 cm (opp. sides of a rectangle PQRT)
SR = ST + TR
SR = 4 + 10
SR = 14 cm

There is an explanation video available below.

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