posted by Jonas .
An airplane is flying 200mph at 50 degrees north of east. Wind velocity is 50mph due south. What is the velocity of the airplane?
V = 200mi/h @ 50o + 50mi/h @ 270o.
X = 200*cos50 + 50*cos270 = 128.6 mi/h.
Y = 200*sin50 + 50*sin270 = 103.2 mi/h.
V^2 = X^2 + Y^2 = 27,188.2
V = 165 mi/h.