Physics
posted by A on .
A plane is flying southwest at 155 mi/h and encounters a wind from the west at 45.0 mi/h. What is the plane's velocity in respect to the ground in standard position?
I know the answer, but can't figure out how to get the answer. Any help would be appreciated!

V = 155mi/h @ 225o + 45mi/h @ 0o.
X = 155*cos225 + 45 = 64.6 Mi/h.
Y = 155*sin225 = 109.6 Mi/h.
V^2 = X^2 + Y^2.
V^2 = (64.6)^2 + (109.6)^2 = 16,185.66
V = 127.2 Mi/h.