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?
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.
... this problem can also be completed using the law of cosines.