relative motion physics help

[coach94]

Ive been stuck on this problem for a bit, I'm not exactly sure what equation to use to solve it so any help pointing me in the right direction is appreciated!

You are traveling on an airplane. The velocity of the plane with respect to the air is 120 m/s due east. The velocity of the air with respect to the ground is 44 m/s at an angle of 30° west of due north.

what ive found : planes speed relative to the ground is 105.15 m/s

question i can't figure out :

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

[Olinguito]

Draw a diagram of vectors. The velocity of the plane relative to ground is the vector sum of the two given velocities. You’ve calculated the magnitude; the angle can be found by trigonometry.

[daniton]

Looks like, it is very good question. Any way to clarify and give you a hint try this simple vector formula.

Vpa = Vpg + Vga

Vpa is velocity of the plane relative to the air.

Vpg is velocity of the plane relative to the ground.

Vga is velocity of the ground relative the air.

Try to change all the velocities to Vectors assuming the ground as an origin. I bet you know very well about Vectors. Good Luck.