Answer
$$c=25.0m$$
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,
$a=24.0m$
$b=7.0m$
So,
$c=\sqrt (24^{2}+7^{2})$
$c=\sqrt (576+49)$
$c=\sqrt 625$
$c=25.0m$