An airplane’s velocity with respect to the air

is 569 miles per hour, and it is heading N 63 ◦
W. The wind, at the altitude of the plane, is
from the southwest and has a velocity of 77
miles per hour. Draw a picture that gives a
visual representation of the problem.
What is the plane’s speed with respect to
the ground?

convert the vectors to x-y coordinates and add them up.

The convert back to polar form.