Answer
1.2 miles
Work Step by Step
The distance jogged north and west make up the legs of a right triangle. The hypotenuse is the distance from the starting point.
Substitute the given distances to find the distance jogged west.
$0.5^2+w^2=1.3^2\longrightarrow$ find the squares
$0.25+w^2=1.69\longrightarrow$ subtract 0.25 from each side
$0.25+w^2-0.25=1.69-0.25\longrightarrow$ subtract
$w^2=1.44\longrightarrow$ find the square root of each side
$w=1.2$
