Question

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

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c=25$, $a=15$

Step2: Rearrange to solve for $b$

$b = \sqrt{c^2 - a^2}$

Step3: Substitute values

$b = \sqrt{25^2 - 15^2} = \sqrt{625 - 225}$

Step4: Calculate and simplify

$b = \sqrt{400} = 20$

Answer:

20 meters