Question c6dff223

Triangle $ABC$ is similar to triangle $DEF$, where angle $A$ corresponds to angle $D$ and angles $C$ and $F$ are right angles. The length of $\overline{AB}$ is $2.9$ times the length of $\overline{DE}$. If $\tan A=\frac{21}{20}$, what is the value of $\sin D$?