What direction should the plane head?

Question

Airplane flight speed is 643 km/h is supposed to fly in a straight path 30 degrees north of east. But a steady 91 km/h wind is blowing from the north. In what direction should the plane head?

Answer 1

Draw and label a diagram.

Put air vector tip to tip with the plane vector.

Use Law of Cosine to determine magnitude of direction vector

Use Law of Sines to determine direction vector.