# Kinematics in 2D - Captain of a Plane Question

crono_
This is an assignment question, so I'm not looking for the answer but perhaps just a nudge in the right direction.

## Homework Statement

The captain of a plane wishes to proceed due west. The cruising speed of the plane is 260 m/s relative to the air. A weather report indicates that a 45.0-m/s wind is blowing from the south to the north. In what direction, measured with respect to due west, should the pilot head the plane?

## Homework Equations

This sounds like it's a right triangle, so I think Pythagorean theorem would be used.

c2 = a2 + b2

## The Attempt at a Solution

I was attempting to draw the problem on a standard x, y coordinate system but wasn't sure how to lay it out.

The wind seems pretty obvious as it's blowing from the south to north, so I was thinking about using a vector arrow pointing in the + y direction. The cruising speed of the plane however seems a little trickier. Would I consider this to be the hypotenuse? Or just one of the other two sides of the right triangle?

Once the two values have been drawn I imagine you would use Pythagorean to find the other side and then calculate the angle.