The pilot of an airplane wishes to fly due north, but there is a 65-km/h wind blowing toward the east.

(a) In what direction relative to north should the pilot head her plane if its speed relative to the air is 340 km/h?

(b) Draw a vector diagram that illustrates your result in part (a).

(c) If the pilot decreases the air speed of the plane, but still wants to head due north, should the angle found in part (a) be increased or decreased?