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In the diagram, |QR| = 5cm, PQR = 60<sup>o</sup&...

In the diagram, |QR| = 5cm, PQR = 60<sup>o</sup> and PSR = 45<sup>o</sup>. Find |PS|, leaving your answe in surd form.

In the diagram, |QR| = 5cm, PQR = 60<sup>o</sup> and PSR = 45<sup>o</sup>. Find |PS|, leaving your answe in surd form.

A.

45cm

B.

37cm

C.

46cm

D.

56cm

Correct answer is D

tan 6o = |PR||QR|

3=|PR|5

= |PR| = 53cm

sin 45 = |PR||PS|

12 = 53|PS|

|PS| = 53 x 2

= 56cm