Question

what is the length of the missing leg? if necessary, round to the nearest tenth.
b = \boxed{54} feet

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c=5$, $a=4$. Rearrange to solve for $b$:
$b^2 = c^2 - a^2$

Step2: Substitute known values

$b^2 = 5^2 - 4^2 = 25 - 16$

Step3: Calculate and take square root

$b^2 = 9$, so $b = \sqrt{9}$

Answer:

3 feet