A small plane can fly at 150 miles/hr. The pilot heads due north toward his home town on the other side of a rectangular lake 600 miles wide. However, there is a wind blowing from west to east at 60 miles/hr.
a) What is the plane's velocity with respect to the ground?
b) How long does it take the plane to cross the lake?
c) How far is the pilot from his home town when he reaches the other side of the lake?