Answer :

[tex]|DE|=5\\|\angle EDF|=55^o\\|FE|=?\\\\tan|\angle EDF|=\frac{|FE|}{|DE|}\\\\tan55^o\approx1.4281\\\\therefore:\\\frac{|FE|}{5}\approx1.4281\Rightarrow|FE|\approx1.4281\times5=7.1405\approx7.1[/tex]

Answer:

7.1

Step-by-step explanation: