# SOLUTION: a wall is supported by a brace 10 feet long. if one end of the brace is placed 6 feet from the base of the wall, how man feet up the wall does the brace reach?

Algebra ->  Algebra  -> Distributive-associative-commutative-properties -> SOLUTION: a wall is supported by a brace 10 feet long. if one end of the brace is placed 6 feet from the base of the wall, how man feet up the wall does the brace reach?      Log On

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 Question 243185: a wall is supported by a brace 10 feet long. if one end of the brace is placed 6 feet from the base of the wall, how man feet up the wall does the brace reach?Answer by nerdybill(6959)   (Show Source): You can put this solution on YOUR website! a wall is supported by a brace 10 feet long. if one end of the brace is placed 6 feet from the base of the wall, how man feet up the wall does the brace reach? . Since the wall and the floor forms a right angle (90 degrees), we can apply the Pythagorean theorem (where the brace is the hypotenuse). . Let x = distance (feet) the brace reaches up the wall then x^2 + 6^2 = 10^2 x^2 + 36 = 100 x^2 = 64 x = 8 feet