In ∆PSR, ∠S = 90°, ∠P = 30° [Given]
∴ ∠R = 60° [Remaining angle of a triangle]
∴ ∆PSR is a 30° – 60° – 90° triangle.
RS = 1/2 RP [Side opposite to 30°]
∴ 6 = 1/2 RP
∴ RP = 6 × 2 = 12 units
Also, PS = √3/2 RP [Side opposite to 60°]
= √3/2 × 12
= 6√3 units
∴ RP = 12 units, PS = 6√3 units.