\textbf{109.} In the figure below, assume $\sin C = \dfrac{5}{13}$ and $CH = 9$. What is the length of $AH$?
\textit{[Figure: Right triangle with vertices A (top left), B (bottom left), C (bottom right), and H on BC with AH perpendicular to BC]}
\begin{itemize}
\item[(1)] $3/25$
\item[(2)] $3/5$
\item[(3)] $3/6$
\item[(4)] $4/75$
\end{itemize}