Instruments in airplane A indicate that with respect to the air the plane is headed 30 degrees north of east with an air speed of 480 km/hr. At the same time, radar on ship B indicates that the relative velocity of the plane with respect to the ship is 416 km/hr in the direction 33 degrees north of east. Knowing that the ship is steaming due south at 20 km/hr, determine
a)the velocity of the airplane,
b) the wind speed and direction.