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Answer:

[tex] = > in \: the \: bigger \: triangle \\ height = 14 \: ft \\ base = 22.5 \: ft \\ = > in \: smaller \: triangle \\ height = x \: ft \\ base = 9 \: ft \\ using \: ratios \\ \frac{bigger \: height}{smaller \: height} = \frac{bigger \: base}{smaller \: base} \\ \frac{14}{x} = \frac{22.5}{9} \\ \frac{14}{x} = 2.5 \\ x = \frac{14}{2.5} \\ x = 5.6 \: ft[/tex]