An airplane is heading north at an airspeed of 300km/ hr, but there is a wind blowing from the northwest at 50km/hr. How many degrees off course will the plane end up flying, and what is the plane's speed relative to the ground?

Answer 1

add the vectors...

300N+50sin45S+50cos45E
N(300-50*.707)N+50*.707E

degrees off course: arctan east/north where east and north are the resultant values above.