Answer:
≈ 39.7ft
Explanation:
The Pythagorean theorem:
![a^(2)+ b^(2)= c^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/1qmlj43c7llekw82zzc4y7nb65cg0u7s28.png)
(a and b are the two shorter legs and c is the largest leg, which is also the opposite side of the right angle)
First, the value of a and c is given. So, we can go ahead and plug those value in and then solve for b.
![45^(2)+ b^(2)= 60^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/bomq9glbawoajkavllrs8w2jxe9jwdw8cx.png)
![2025+b^(2) =3600](https://img.qammunity.org/2022/formulas/mathematics/high-school/cn6pqd441nxybnpmqj09xvh02hmiux7lz3.png)
To find b, we have to get it by itself. So we subtract 2025 from both sides then square root both sides. Resulting in:
![b^(2) =1575](https://img.qammunity.org/2022/formulas/mathematics/high-school/zbnu9gb4xrdpwnivbbc58ml7wx31pdust1.png)
≈ 39.7ft