答案:D
在 $\Delta ACD$ 中,
$\begin{array}{rcll}
\tan \theta & = & \dfrac{AC}{CD} \\
AC & = & CD \tan\theta & \ldots \unicode{x2460}
\end{array}$
在 $\Delta ABC$ 中,
$\begin{array}{rcll}
\sin \phi & = & \dfrac{AB}{AC} \\
AC & = & \dfrac{AB}{\sin \phi} & \ldots \unicode{x2461}
\end{array}$
把 $\unicode{x2460}$ 代入 $\unicode{x2461}$,可得
$\begin{array}{rcl}
\dfrac{AB}{\sin \phi} & = & CD \tan\theta \\
\dfrac{AB}{CD} & = & \tan \theta \sin \phi
\end{array}$