Triangle \(ABC\) is similar to triangle \(DEF\), where \(A\) correspo…

Question

Prompt

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

tan (A) = 3

and

D F = 53

, what is the length of

\overline{D E}

53 \frac{3}{3}

53 \frac{3}{2}

533

106