Sec 3/4 E Math T07-Q11 - Calculating a distance from bearings

Sec 3/4 E Math T07-Q11 - Calculating a distance from bearings

Secondary 3
Original parallel to Sec3&4 E Math FA

From a coastguard station \(O\), buoy \(A\) is \(7\) km away on a bearing of \(055^\circ\), and buoy \(B\) is \(13\) km away on a bearing of \(130^\circ\).

  1. Find \(\angle AOB\).
  2. Calculate \(AB\), giving your answer correct to 3 significant figures.

Solution:

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Answer:(a) \(75^\circ\); (b) \(13.073\) km.

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