A 28-foot ladder is leaning against a house. The bottom of the ladder is 6 feet from the base of the house. How high is the top of ladder against the house.

It is 27.35 ft up the house

Step-by-step explanation:

The hypotenuse of the right triangle is 28 and the base is 6

We can use the pythagorean theorem to find how high it is

a^2 + b^2 = c^2

6^2 + b^2 = 28^2

36 + b^2 = 784

Subtract 36 from each side

36-36 + b^2 = 784-36

b^2 = 748

Take the square root of each side

b = sqrt (748)

b = 27.34958866

It is 27.35 ft up the house