See image for question.

Please show workings and diagrams.​

a) 258 kmb) 267°c) 87°

Step-by-step explanation:

Refer to attached diagram (not to scale).Given details are reflected.

First find the measure of angle Q

m∠Q = 36° + (180° - 125°) = 91°

a) Use law of cosines to find x:

x = √(160² + 200² - 2160*200*cos 91°) = 258 km (rounded)

Use the law of sines to find the missing angles:

258 / sin 91 = 160 / sin R = 200 / sin Pm∠R = arcsin (160 sin 91° / 258) = 38°m∠P = 180° - (91° + 38°) = 51°

b) Bearing P from R:

360° - (55° + 38°) = 267°

c)  Bearing R from P:

36° + 51° = 87°