2006
Mathematics
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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
Correct Answer: 14 cm
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
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 cmTHIS WEEK's
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