I need help on getting the correct answer

Answer:
Step-by-step explanation:
We know
[tex]\\ \sf{:}\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]
Now
[tex]\\ \sf{:}\Rrightarrow tanE=\dfrac{FD}{DE}[/tex]
[tex]\\ \sf{:}\Rrightarrow tanE=\dfrac{55}{48}[/tex]