Answer:
f = 8 feet
Step-by-step explanation:
In Δ EBC
∵ DF ⊥ BE
∵ CB ⊥ BE
∴ DF // CB
∵ D is the mid-point of CE
∵ DF // CB
∴ F is the mid-point of EB
∵ DF joining the mid-points of EB and EC
∴ DF = [tex]\frac{1}{2}[/tex] CB
∵ CB = f and DF = 4 ft
∴ 4 = [tex]\frac{1}{2}[/tex] f
→ Multiply both sides by 2
∴ 8 = f
∴ The value of f is 8 ft
