Question 2be01bd9

Geometry and Trigonometry - Right triangles and trigonometry

Triangle $A B C$ is similar to triangle $D E F$ , where angle $A$ corresponds to angle $D$ and angle $C$ corresponds to angle $F$ . Angles $C$ and $F$ are right angles. If $\tan (A) = \frac{50}{7}$ , what is the value of $\tan (E)$ ?