Which direction should we steer to reach Rome?

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A plane flies in a straight line from London to Rome, a distance of \(\quantity{1400}{km}\) on a bearing of \(135^\circ\). Given that the plane’s speed in still air is \(\quantity{380}{km/h}\), that the wind direction is \(225^\circ\) and that the journey takes \(4\) hours, determine,

1. the wind speed,

2. the direction the pilot should set for the flight.

Find also the direction the pilot should set for the return flight, assuming that the speed and direction of the wind remain unchanged.