Question

See image for question.

Please show workings and diagrams.​

Answer 1

a) Use law of consines to find x:

x=(160 2+200 2-2160×200× cos 91 grades) =258 km.

b) Bearning P from R:

360 grades - ( 55 degrees + 38 degrees)

Answer 2

• a) 258 km
• b) 267°
• c) 87°

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 P
• m∠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°