brian borrowed a 20-foot extension ladder to use to paint his house. If he sets the base of the ladder six feet from the house how far up will the top of the ladder reach?

The ladder Brian borrowed for painting should go 19.08 feet up the house if Brian sets the base 6 feet from the houseHow to find the distance up the house the ladder will goinformation given in the questionhypotenuse = 20-foot ladderadjacent = 6 feet from the houseopposite =  how far up the house = ?The problem is solved using the Pythagoras theorem is applicable to right angle triangle.  the formula of the theorem ishypotenuse² = opposite² + adjacent²plugging the values as in the problemlet x be the required distance20² = 6² + x²400 = 36 + x²400 - 36 = x²x² = 364x = √364x = 19.08The ladder Brain borrowed will go 19 feet high Learn more on leaning a ladder here:https://brainly.com/question/29241066#SPJ1