a 13ft ladder leans against the side of a house. the bottom of the ladder is 10ft from the side of the house. how high is the top of the ladder from the ground

The answer would be the square root of 69 or 8.30662386

Step-by-step explanation:

Use pythagoreum theorum

a^2 + b^2 = c ^2

13 = Hypotenouse

10 = a or b

10^2 + b^2 = 13^2

100 + b^2 = 169

-100

b^2 = 69

square root both sides

b = square root of 69 or 8.30662386

If you can turn to a decimal, then, 8.3 or 8.31 or square root of 69