# The top of a ladder leans against a house at a height of 12 feet. The length of the ladder is 8 feet more than the distance from the house to the base of the ladder. Find the length of the ladder?

##### 1 Answer

Mar 19, 2016

#### Explanation:

The ladder leans against a house at a height

Suppose distance from the house to the base of ladder

Given is that length of ladder

From Pythagorean theorem we know that

or

or

or

Therefore length of ladder

-.-.-.-.-.-.-.-.-.-.

Alternatively, one can assume length of ladder

This sets the distance from the house to the base of ladder

Then proceed with setting up of equation under Pythagorean theorem and solve for