Alright guys, here is a problem I have encountered in my Physics class that deals with trigonometry, giving me problems...:

A plane travels 2.5 km at an angle of 35° to the ground, then changes direction and travels 5.2 km at an angle of 22° to the ground. What is the magnitude (total distance) and direction (So many degrees to whatever cardinal direction) of the planes total displacement?

The attatchment below is my interpretation of the problem.

Attachment 15722

Thank you in advance(Bow)