Calculating wind speed with respect to an airplane

[kvandeaver]

Homework Statement

An airplane pilot sets a compass course due west and maintains an airspeed of 220 km/hr. After flying for .5 hr, she finds herself over a town 120 km west and 20 km south of her starting point. Find the wind velocity (magnitude and direction).

Homework Equations

The Attempt at a Solution

I have attempted setting up the diagram and finding the vector components of each velocity, and then using right triangles to find the magnitudes, but I keep getting the wrong answer. I have no idea how to go about doing this problem.

 

[KLoux]

Can you show us how you set up your vector equations?

-Kerry