Answer:
[tex]24.68\ ft[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
Let
x ----> ladder height in ft
Applying the Pythagorean Theorem
[tex]25^2=4^2+x^2[/tex]
solve for x
[tex]625=16+x^2[/tex]
[tex]x^2=625-16[/tex]
[tex]x^2=609[/tex]
[tex]x=\sqrt{609}\ ft[/tex]
[tex]x=24.68\ ft[/tex]
