已知双曲线\( \frac{{x}^{2}}{6}-\frac{{y}^{2}}{3}=1\)的左右焦点为\( {F}_{1}和{F}_{2},\)点A在双曲线上\( ,\)且\( A{F}_{1}\text{⊥x}\)轴\( ,\)则\( {F}_{1}\)到\( A{F}_{2}\)的距离为 ( )
A. \( \frac{6}{5}\)
B. \( \frac{5}{6}\) C. \( \frac{3\sqrt{6}}{5}\) D. \( \frac{5\sqrt{6}}{6}\)
