Answer
$$350 ft .$$
Work Step by Step
Since we have a right triangle with legs a, b and the hypotenuse c, then by the Pythagorean theorem, we have $$c^2=a^2+b^2.$$
Since $c=360 ft$ and $b=95 ft$, then $a$ is given by
$$ a=\sqrt{c^2-b^2}=\sqrt{360^2-95^2}\approx 350\ ft .$$