The pilot of an airplane that flies at 650 km/h wishes to travel to a city 1000 km due east. There is a 75 km/h wind from the northeast.
a)What should the plane's heading be?
b) How long will the trip take?
I take it that you've made a sketch of the Air + Wind = Ground velocity vectors ...
let = groundspeed along a track due east.
= heading angle relative to east
using components ...
from the second equation ...
plane should steer about north of east.
km/hr
... this problem can also be completed using the law of cosines.