CPM Homework Help : PC Problem 10-57

A plane in calm air flies at a constant rate of $200$ mph. There is a $40$ mph wind blowing toward a bearing of $140°$ . What bearing must the pilot fly in order to have a due east heading? At what rate will the plane be traveling?

Hint:

Draw and label a diagram.

Hint:

Solve the triangle using the Law of Sines. Remember to give your answer as a bearing.