Answer
The side of the right-angle triangle is $a=19.9\text{m}$.
Work Step by Step
In a right-angle triangle, $\tan \left( a \right)=\frac{P}{B}$,
Where $a=41.9{}^\circ $, $P=a$ and $B=22.2\text{m}$.
Therefore,
$\begin{align}
& \tan \left( 41.9{}^\circ \right)=\frac{a}{22.2} \\
& 0.89=\frac{a}{22.2} \\
& a=0.89\left( 22.2 \right) \\
& a=19.9\text{m}
\end{align}$
Hence the side of the right-angle triangle is $a=19.9\text{m}$