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Actually Welcome to the concept of Pythagorus theorem,
here, the perpendicular height = 24 ft and the base = 10ft ,
hence then length of the ladder is the Hypotenuse.
so we get as,
[tex]l \: = \sqrt{ {24}^{2} + {10}^{2} } [/tex]
[tex]l \: = \sqrt{576 + 100} [/tex]
[tex]l \: = \sqrt{676} [/tex]
hence, l = 26 ft
so the length of the ladder is 26 feets.
