Question

You are traveling on an airplane. The velocity of the plane with respect to the air is 150 m/s due east. The velocity of the air with respect to the ground is 37 m/s at an angle of 30° west of due north.

What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east)

Answer 1

So I like drawings and it would be best to draw this

Answer 2

so this is really a form of vector addition

Answer 3

so you need the x and y components of the wind or in this case the north and east components

Answer 4

and then you would add that to the vector of the airplane

Answer 5

and that is how you would get your answer

Answer 6

do you know how to do vector addition or do you need help with that?