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Andrew [12]
3 years ago
6

See image for question.Please show workings and diagrams.​

Mathematics
2 answers:
Komok [63]3 years ago
4 0

Answer:

  • a) 258 km
  • b) 267°
  • c) 87°

Step-by-step explanation:

  • <em>Refer to attached diagram (not to scale).</em>
  • <em>Given details are reflected.</em>

<u>First find the measure of angle Q</u>

  • m∠Q = 36° + (180° - 125°) = 91°

a) <u>Use law of cosines to find x:</u>

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

<u>Use the law of sines to find the missing angles:</u>

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

b) <u>Bearing P from R:</u>

  • 360° - (55° + 38°) = 267°

c)  <u>Bearing R from P:</u>

  • 36° + 51° = 87°

Marrrta [24]3 years ago
4 0

Answer:

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)

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