4 An aeroplane is flying in air that is moving due east at \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\). Relative to the air, the aeroplane has a velocity of \(90 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) due north. During a 20 second period, the motion of the air causes the aeroplane to move 240 metres to the east.
- \(\quad\) Find \(V\).
- Find the magnitude of the resultant velocity of the aeroplane.
- Find the direction of the resultant velocity, giving your answer as a three-figure bearing, correct to the nearest degree.
[0pt]
[3 marks]