A plane is traveling north with an air speed of 65 mph A 78

A plane is traveling north with an air speed of 65 mph. A 78 mph wind is blowing from the East. What is the speed and direction of the plane relative to the ground?

Solution

the speed of the plane relative to the ground = sqrt(65^2 +78^2)

= sqrt(4225+6084)

=sqrt(10309)

=101.5 mph

the direction is NE(north east)