Answer:
[tex]\sqrt{109}[/tex]
Step-by-step explanation:
The side of the house is a side of the right triangle.
The ladder is 3 feet away, so it forms a triangle with sides 3, 10, x.
We're trying to find the hypotenuse, which is given by Pythagoras' Theorem:
[tex]a^2 + b^2 = c^2\\3^2 + 10^2 = x^2\\109 = x^2\\x = \sqrt{109}[/tex]
