We are studying pythagorean Theorem. How do I set this up to solve?

Question

A jogger goes half a mile north and then turns west. If the jogger finishes 1.3 mi from the starting point, how far west did the jogger go?

Answer 1

a^2 + b^2 = c^2

0.5^2 + b^2 = 1.3^2

Solve for b to find the distance she went west.

Answer 2

0.5^2+b^2=1.3^2
.25+b^2=1.69
b^2=1.44
b=1.2

Answer 3

1.2mi.