\textbf{135-} In an ellipse with semi-axes $8$ and $2\sqrt{7}$, and foci $F$ and $F'$, a circle with diameter $F'F$ intersects the ellipse at point $M$. The distance from point $M$ to the nearest focus is:
\begin{itemize}
\item[(1)] $4 - 3\sqrt{2}$
\item[(2)] $7.5$
\item[(3)] $4 - \sqrt{2}$
\item[(4)] $3$
\end{itemize}