Navigational Trigonometry: Analyzing Bearings and Positions of Three Towns

Navigational Trigonometry: Analyzing Bearings and Positions of Three Towns

Secondary 3

The diagram shows three towns, \(A\), \(B\) and \(C\). \(C\) is equidistant from \(A\) and \(B\).

The bearing of \(C\) from \(A\) is \(135{}^\circ\) and \(\angle BAC=65{}^\circ\).

Calculate the

  1. Reflex angle \(ACB\),
  2. bearing of \(A\) from \(C\),
  3. bearing of \(A\) from \(B\).

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Answer:(i) \(310^\circ\) (ii) \(315^\circ\) (iii) \(020^\circ\)

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