Answer
$75 \sqrt 2$ miles
106.1 miles
Work Step by Step
$x^2+x^2=150^2$
$2x^2=22500$
$2x^2/2=22500/2$
$x^2=11250$
$\sqrt {x^2} = \sqrt {11250}$
$x = ±\sqrt {11250}$
$x = ±\sqrt {75*75*2}$
$x = ±75\sqrt {2}$
We are looking for a distance, so we want only the positive square root.
$x= 75 \sqrt 2$
$75*\sqrt 2$
$75*1.414$
$106.066$
$106.1$
