Question

In the figure given below, find RS and PS using the information given in ΔPSR.

Answer 1

In ΔRSP, ∠PSR = 90°, ∠RPS = 30°

To find Rs, sin 30° = `(RS)/(RP)`

`1/2 = (RS)/12`

RS = 6 units

cos 30° = `(PS)/(RP)`

`sqrt3/2 = (PS)/12`

PS = `(12sqrt3)/2`

PS = `6sqrt3` units

Therefore, length of RS is 6 units, and the length of PS is `6sqrt3` units.