Trigonometry

Trigonometry

Secondary 3
4 marks

A ship sails \(8.0\text{ km}\) east from \(A\) to \(B\), then continues on a bearing of \(060^\circ\) from \(A\) to \(C\). \(C\) is due north of \(B\). Find

  1. \(BC\)

    [1]
  2. \(AC\)

    [1]
  3. the bearing of \(C\) from \(B\). Give distances to \(3\) s.f.

    [2]

Solution:

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Answer:(a) \(13.9\) km; (b) \(16.0\) km; (c) \(000^\circ\)

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