Question 6ab30ce3

Triangle $A B C$ is similar to triangle $D E F$ , where $A$ corresponds to $D$ and $C$ corresponds to $F$ . Angles $C$ and $F$ are right angles. If $tangent left parenthesis upper A right parenthesis equals StartRoot 3 EndRoot$ and $upper D upper F equals 125$ , what is the length of $\bar{D E}$ ?

Geometry and Trigonometry - Right triangles and trigonometry