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0606 P12 - Jun 2019 - Q7 - 8 marks
8269

A pilot wishes to fly his plane from a point \(A\) to a point \(B\) on a bearing of \(055^\circ\). There is a wind blowing at \(120\text{ km h}^{-1}\) from the west. The plane can fly at \(650\text{ km h}^{-1}\) in still air.

(i) Find the direction in which the pilot must fly his plane in order to reach \(B\).

(ii) Given that the distance between \(A\) and \(B\) is \(1250\) km, find the time it will take the pilot to fly from \(A\) to \(B\).

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