Answer
$\text{approximately }4.24\text{ }ft$
Work Step by Step
Let $x$ be the length of the connecting pipe. Using $a^2+b^2=c^2$ or the Pythagorean Theorem, then
\begin{array}{l}\require{cancel}
3^2+3^2=x^2
.\end{array}
The equation above simplifies to
\begin{array}{l}\require{cancel}
9+9=x^2
\\
18=x^2
.\end{array}
Taking the square root of both sides and using the properties of radicals, the equation above is equivalent to
\begin{array}{l}\require{cancel}
\sqrt{18}=x
\\
x\approx4.24
.\end{array}
Hence, the length of the connecting pipe, $x,$ is $
\text{approximately }4.24\text{ }ft
.$