a general solution to this problem...
a plane flies on a heading of θ with speed v with a wind blowing from the direction Ø with speed w.
The resultant vector z is
z = <zx,zy> = <v sinθ,v cosθ> - <w sinØ,w cosØ>
in the direction arctan(zx/zy)
Now plug in your numbers.
A plane flies on a heading of N50 degrees East at a constant speed of 450 km/h. If the velocity of the wind is 70 km/h on a bearing of S30 degrees East,
what is the velocity (speed and direction) of the plane with respect to the ground?
2 answers
oops. arctan(zy/zx)
3 answers