Question

Josh leans the ladder against a side of her house which is 10 feet. If the base of the latter is 3 feet away from the house, how tall is the ladder? ( use Pythagorean theorem )

Answer 1

Answer:

$\sqrt{109}$

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:

$a^2 + b^2 = c^2\\3^2 + 10^2 = x^2\\109 = x^2\\x = \sqrt{109}$