#### Answer

$\frac{40}{7}$ feet or $5\frac{5}{7}$ feet

#### Work Step by Step

Step 1: Since the triangles are similar, their corresponding sides are in
proportion.
Step 2: This means that $\frac{28}{20}=\frac{8}{y}$.
Step 3: Solving through cross multiplication: $28y=20\times8$.
Step 4: $28y=160$
Step 5: $y=\frac{160}{28}=\frac{40}{7}$ feet
Check:
Step 1: Equating the two proportions to see if they reduce to the same fraction: $\frac{28}{20}=\frac{8}{\frac{40}{7}}$
Step 2: Simplifying both sides: $\frac{28}{20}=\frac{8\times7}{40}$
Step 3: $\frac{28}{20}=\frac{56}{40}$
Step 4: $\frac{7}{5}=\frac{7}{5}$
Step 5: Therefore, the answer is accurate.