Answer:
[tex] {x}^{2} = {24}^{2} + {7}^{2} [/tex]
[tex] {x}^{2} = 576 + 49[/tex]
[tex] {x}^{2} = 625[/tex]
[tex] {x}^{2} = \sqrt[]{625} [/tex]
[tex] {x}^{2} = 25[/tex]
Therefore, the length of hypotenuse is 25 ft.