Answer:
24ft
Step-by-step explanation:
Pythagorean Theorem!!
[tex]a^2 + b^2 = c^2[/tex]
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In this case, the ladder is c, and the base is b.
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Plug the numbers in the formula.
[tex]a^2 + 7^2 = 25^2[/tex]
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Solve.
[tex]a^2 + 49 = 625[/tex]
[tex]a^2 -49 = 625 - 49[/tex]
[tex]a^2 = 576[/tex]
[tex]\sqrt{a^2} = \sqrt{576}[/tex]
[tex]a = 24[/tex]
