Question

Find f. Write your answer as a whole number or a decimal. DO NOT ROUND

Answer 1

f = 8 feet

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 =
`(1)/(2)` CB

∵ CB = f and DF = 4 ft

∴ 4 =
`(1)/(2)` f

→ Multiply both sides by 2

∴ 8 = f

∴ The value of f is 8 ft