If the wind is blowing from the east at 87 km/h and an airplane is on a heading of 225° with an airspeed of 750 km/h find the ground velocity of the airplane and the direction of flight in cartesian.

Answer 1

Draw and label a diagram

The angle between the heading of the plane and the wind in 135°

Use Law of Cosines

d² = 750² + 87² - 2(750)(87) cos 135°

Use Law of Sines to determine direction of plane.