Navigating the Open Sea: A Study of Ships \(Q\) and \(R\)

Navigating the Open Sea: A Study of Ships \(Q\) and \(R\)

Secondary 3

Two ships \(Q\) and \(R\) are on the bearings of \(035{}^\circ\) and \(115{}^\circ\) from a port \(P\) respectively.
The distance between \(Q\) and \(P\) is \(500\) m and the distance between \(R\) and \(P\) is \(900\) m.
Calculate

  1. \(\angle QPR\).
  2. the distance \(QR\), giving your answer to the nearest m.
  3. the bearing of \(Q\) from \(R\).

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Answer:(i) \(80^\circ\) (ii) \(951\text{ m}\) (iii) \(326.2^\circ\)

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