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In the diagram, |QR| = 10cm, PR⊥QS, angle PSR = 30&d...

In the diagram, |QR| = 10cm, PR⊥QS, angle PSR = 30° and angle PQR = 45°. Calculate in meters |QS|

In the diagram, |QR| = 10cm, PR⊥QS, angle PSR = 30° and angle PQR = 45°. Calculate in meters |QS|

A.

10(1+3)

B.

203

C.

103

D.

(10+3)

Correct answer is A

In Δ PQR, 

tan45=PR10PR=10tan45

= 10m

In Δ PRS,

tan30=10RSRS=10tan30

= 10{13

= 103

PS = 10+103

= 10(1+3)cm