need help with vectors word problem

Question

An airplane is heading north at an airspeed of 700 km/hr, but there is a wind blowing from the southwest at 80 km/hr.

The plane will end up flying __?___ degrees off course

The plane's speed relative to the ground will be ___?___ km/hr

Answer 1

Draw and label a diagram!

Use Law of Cosines to determine ground speed

s² = 80² + 700² - 2(80)(700)cox 135°

Then use Law of Sines to determine amount of degrees off course.