Question

A ladder is placed 6 feet away from a house. The ladder comes up to 8 feet on the side of the house. How long is the ladder

Answer 1

Length of the ladder is 10 feet.

Explanation:

Let the distance of the ladder from house = x feet

and ladder reach on the side of the house be = y feet

Then by pythagoras formula in a right angle triangle having height of the triangle y, base as x then hypotenuse =√(height)²+(Base)²

Or Hypotenuse = √x²+y²

Here from the question x = 8 feet and y = 6 feet

Then by putting these values we get the length of ladder.

So length of the ladder will be = √8²+6² = √64+36 = √100 = 10 feet.