Question

One end of a 10 foot ladder is four feet from the base of a wall how high on the wall does the top of the ladder touch?

Answer 1

x =
`√(116)` feet

Explanation:

Pythagorean Theorem:
`a^2=b^2+c^2`

where a = hypotenuse, and b and c are legs of the right triangle.

We plug in our variables into the equation and solve for x:

`10^2=4^2+x^2`

which would isolate to:

`116=x^2`

so x =
`√(116)`