Answer:
24 ft up the wall
Step-by-step explanation:
We can use the Pythagorean theorem to solve, letting the 25 ft ladder be the hypotenuse
a^2 +b^2 = c^2
7^2 +b^2 = 25^2
49 + b^2 = 625
Subtract 49 from each side
49-49 +b^2 = 625-49
b^2 = 576
Take the square root of each side
sqrt(b^2) = sqrt(576)
b = 24
We only take the positive solution since length cannot be negative
The ladder will reach 24 ft up the wall
