- 44

- 0

**1. 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?

**2. Homework Equations**

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

c

^{2}= a

^{2}+ b

^{2}

**3. 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.

Any advice?