Answer:
Height of flagpole = 25 ft
Step-by-step explanation:
Refer the figure.
In this case ratio of height to length of shadow for Julia and Flag pole should be same.
Height of Julia = BD = 5 ft
Length of shadow of Julia = BC = 7 ft
Height of flagpole = AE = ?
Length of shadow of flagpole = AC = AB + BC = 28 +7 = 35 ft
We have
[tex]\frac{BC}{BD}=\frac{AC}{AE}\\\\\frac{7}{5}=\frac{35}{AE}\\\\AE=25ft[/tex]
Height of flagpole = 25 ft