Answer
$$c=17.0m$$
Work Step by Step
This is a right triangle. This means we can use the Pythagorean Theorem to find the length of the hypotenuse.
The formula is $c=\sqrt (a^{2}+b^{2})$
In this case,
$a=15.0m$
$b=8.0m$
So,
$c=\sqrt (15^{2}+8^{2})$
$c=\sqrt (225+64)$
$c=\sqrt 289$
$c=17.0m$