20-foot extension ladder set base six feet from house How far up will ladder reach?

The top of the 20-foot ladder used for painting will be  19 feet up from the base of the house How to determine how high up the house the ladder will goinformation given in the questionBrian borrowed a 20-foot extension ladder: hypotenuse = 20-foot ladderhe sets the base of the ladder six feet from the houseadjacent = 6 feet from the houseopposite =  how far up will the top of the ladder reach = ?The problem is solved using the Pythagoras theorem is applicable to right angle triangle.  the formula of the theorem ishypotenuse² = adjacent² + opposite² substituting the values into the equationlet x be thow far up will the top of the ladder reach 20² = 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#SPJ1complete questionBrian 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?