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irinina [24]
3 years ago
14

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

Mathematics
1 answer:
ale4655 [162]3 years ago
3 0

Answer:

  • a) 7 km
  • b) 298°

Step-by-step explanation:

<em>See attached diagram (not to scale). </em>

<em>All given details reflected.</em>

a) <u>Find the measure of XZ using the law of cosines:</u>

  • y = √(5² + 3² - 2*5*3*cos 135°) =  7 km (rounded)

b) <u>Now using the law of sines find the measure of angle X:</u>

  • 7 / sin 135° = 5 / sin X
  • sin X = 5 sin 135° / 7
  • m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)

<u>The bearing of Z from X is:</u>

  • 270° + 28° = 298°

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