An aeroplane has to go from a point A to another point B, 500 km away due ${30}^0$east of north. A wind is blowing due north at a speed of 20m/s. The air speed of the plane is 150 m/s.

The direction of the pilot should head the plane to reach the point B is  ${\sin }^{-1}\left(\frac{1}{15}\right)$  with line AB

The time taken by the plane to go from A to B is 50 min. (Approximately)

The direction of the pilot should head the plane to reach the point B is  ${\sin }^{-1}\left(\frac{1}{10}\right)$ with line AB

The time taken by the plane to go from A to B is 100 mints (approximately)