Question

In APQR, P = 83°, p = 285 m, r = 216 m.
Calculate R.​

Answer 1

48.8°

Explanation:

We solve using sine rule

The formula is given as

p/sin P = r/sin R

In APQR, P = 83°, p = 285 m, r = 216 m.

Calculate R.

Hence, solving for R

285/sin 83 = 216/sin R

Cross Multiply

285 × sin R = sin 83 × 216

sin R = sin 83 × 216/285

R = arc sin (sin 83 × 216/285)

R = 48.78527°

Approximately = 48.8°

Therefore, R = 48.8°