Island A is 150 miles from Island B. A ship captain travels 310 miles from Island A and then finds that he is off course and 200 miles from

Question

Island A is 150 miles from Island B. A ship captain travels 310 miles from Island A and then finds that he is off course and 200 miles from Island B. What angle, in degrees, must he turn through to head straight for Island B?

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Verity 1 year 2021-09-02T14:19:01+00:00 1 Answers 23 views 0

Answers ( )

  1. RuslanHeatt
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    2021-09-02T14:20:11+00:00
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    Answer:

    156.37°

    Step-by-step explanation:

    We solve this above question, using Cosine rule which is given as:

    Cos C = a² + b² – c²/2ab

    Let the Angle be represented as: x

    Cos x = 310² + 200² – 150²/2 × 310 × 200

    x = arc cos [ 310² + 200² – 150²/2 × 310 × 200]

    x = 23.63°

    The angle, in degrees, that he must turn through to head straight for Island B is given as:

    180° – 23.63°

    = 156.37°

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