Answer:
FD ≈ 252.8 feet
Step-by-step explanation:
By applying tangent rule in the given right triangle,
tan(20°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(20°) = [tex]\frac{EF}{FD}[/tex]
0.36397 = [tex]\frac{92}{FD}[/tex]
FD = [tex]\frac{92}{0.36397}[/tex]
FD = 252.77
FD ≈ 252.8 feet