Two legs of a drone flight on given bearings: direct distance by the cosine rule and the return bearing
Two legs of a drone flight on given bearings: direct distance by the cosine rule and the return bearing
IB Year 6 | Grade 12
6 marks
A drone flies \(30\text{ km}\) from its base \(P\) on a bearing of \(110^\circ\) to a point \(Q\). It then flies \(45\text{ km}\) on a bearing of \(230^\circ\) to a point \(R\).
- Find the distance \(PR\).[4]
- Find the bearing of \(R\) from \(P\).[2]
Solution:
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Answer:(a) \(PR=15\sqrt7\approx39.7\text{ km}\) (b) \(189^\circ\)
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