Answer:
24.5 ft
Step-by-step explanation:
The Pythagorean theorem relates the lengths of the legs of a right triangle to the length of the hypotenuse. This geometry is modeled by a right triangle with one leg being 5 ft and the hypotenuse being 25 ft. Then we have (in feet), ...
25^2 = 5^2 + height^2
625 -25 = height^2 . . . . . . subtract 5^2
√600 = height ≈ 24.4949 . . . . take the square root
The ladder reaches about 24.5 ft up the house.
