Add these vectors or subtract them?

Question

 

A jet plane set to be on a velocity and course of 840 knots, 44 degrees south of west encounters wind. The flight tower shows that their actual velocity and path is 840 knots, 49 degrees south of west. What was the velocity and direction of the wind? I would appreciate multiple answers on this one because I think the teacher worked this problem totally wrong. thanks (:

Answer 1

Draw and label of diagram.

To blow the plane off course by 5° to the southeast, the wind must be coming from the northwest.

Draw this vector.

Would you add or subtract the two vectors of the plane to get the wind vector?

 

Use the Law of Sines to determine the angle of wind and it's magnitude.