what is the length of the missing leg? if necessary, round to the nearest tenth. b = yards

Answer:

45.0

Explanation:

Step1: Recall Pythagorean theorem

$a^{2}+b^{2}=c^{2}$, where $c$ is hypotenuse.

Step2: Identify values

Let $a = 60$, $c=75$, find $b$.

Step3: Rearrange formula

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

Step4: Substitute values

$b=\sqrt{75^{2}-60^{2}}=\sqrt{(75 + 60)(75 - 60)}=\sqrt{135\times15}=\sqrt{2025}$.

Step5: Calculate result

$b = 45$. Rounding to nearest tenth gives 45.0.