Mathematics

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

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: 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