10 Given the hyperbola $\frac{x^{2}}{6}-\frac{y^{2}}{3}=1$ with foci $F_{1}$ and $F_{2}$, point $M$ is on the hyperbola, and $M F_{1} \perp x$-axis, then the distance from $F_{1}$ to the line $F_{2} M$ is ( ).
(A) $\frac{6}{5}$
(B) $\frac{5}{6}$
(C) $\frac{3 \sqrt{6}}{5}$
(D) $\frac{5 \sqrt{6}}{6}$
$10 \mathrm{~A}$.

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