Distance and bearing between two buoys positioned from a lighthouse
Distance and bearing between two buoys positioned from a lighthouse
IB Year 6 | Grade 12
6 marks
Three buoys are anchored near a lighthouse \(L\). Buoy \(P\) lies \(7\text{ km}\) due east of \(L\), buoy \(Q\) lies \(4\text{ km}\) due south of \(L\), and buoy \(R\) lies \(2\text{ km}\) due east of \(Q\). Calculate the distance \(PR\), and determine the bearing of \(R\) from \(P\).[6]
Solution:
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Answer:\(PR=\sqrt{41}\approx6.40\text{ km}\), bearing \(231^\circ\)
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