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See figure 2.19. Find RP and PSusing the information given in triangle PSR​

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ANSWER:

\sin(30)  =  \frac{ps}{rs}  \\ ie \:  \:  \: ps \:  = rs \times  \sin(30)  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 6 \times  \frac{1}{2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 3 \\ similarly \:  \cos(30)  =  \frac{rs}{pr}  \\ thus \:  \:  \: pr =  rs \times  \cos(30)  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   = 6 \times  \frac{ \sqrt{3} }{2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 3 \sqrt{3}



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