[tex]\frac{FE}{\sin(D)} = \frac{FD}{\sin(E)}[/tex]
[tex]\frac{FE}{\sin(39^{\circ})} = \frac{7}{\sin(34^{\circ})}[/tex]
[tex]FE = \sin(39^{\circ})*\frac{7}{\sin(34^{\circ})}[/tex]
[tex]FE \approx 7.87785880329812[/tex]
[tex]FE \approx 7.9[/tex]
Final Answer: 7.9 feet
