See figure 2.19. Find RP and PS using the information given in PSR.

In PSR , P = 30˚ , S = 90˚
R = 180 – (90+30) = 60˚ [Angle Sum property of triangle]
PSR is a 30˚ – 60˚ – 90˚ triangle.
SR = (½)×PR [side opposite to 30˚]
6 = (½)× PR
PR = 12
PS = √(PR² -SR² [Pythagoras theorem]
PS = √(12²-6²)
PS = √(144-36)
PS = √108
PS = 6√3
Hence RP = 12 units and PS = 6√3 units.