4 An aeroplane is travelling due north at \(180 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) relative to the air. The air is moving north-west at \(50 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
- 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 to the nearest degree.