An aeroplane has to go from a point `O` to another point `A`, at distance `d` due `37^(@)` east of north. A wind is blowing due north at a speed of `20 m//s`. The air speed of the plane is `v`. (a) Find the direction in whihc the pilot should head the plane to reach the point `A`. (b) Find the time taken by the plane to go from `O` to `A`.

Answer

`(t_(0))/(1-(u_(2))/(v_(2)));(t_(0))/(sqrt(1-(u_(2))/(v_(2))))`