Answer:
x = 323 in
Step-by-step explanation:
Given triangles are similar, so their corresponding sides would be in proportion:
3ft = 3*12 = 36 in
5ft 8 in = 5*12 + 8 = 68 in
14 ft 3 in = 14*12 + 3 = 171 in
[tex] \frac{3 \: ft}{14 \: ft \: 3 \: in} = \frac{5 \: ft \: 8 \: in}{x} \\ \\ \frac{36}{171} = \frac{68}{x} \\ \\ x = \frac{171 \times 68}{36} \\ \\ x = \frac{11628}{36} \\ \\ x = 323 \: in \: \\ \\ x = 26 ft \: 11 in[/tex]
