document.write( "Question 1113227: A tree fell over during a hurricane and settled against the side of a building (forming a right triangle). If the bottom of the tree is 11 feet away from the base of the building and the height at which the top of the tree touches the building is 1 foot less than the length of the tree, how high up the building is the top of the tree? \n" ); document.write( "

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A tree fell over during a hurricane and settled against the side of a building (forming a right triangle).
\n" ); document.write( " If the bottom of the tree is 11 feet away from the base of the building and the height at which the top of the tree touches the building is 1 foot less than the length of the tree, how high up the building is the top of the tree?
\n" ); document.write( ":
\n" ); document.write( "The triangle formed
\n" ); document.write( "h+1 = the height of the tree (hypotenuse)
\n" ); document.write( "h = the height of tree up the building
\n" ); document.write( "11 = distance from the tree to the building
\n" ); document.write( "Pythag
\n" ); document.write( " $\"h%5E2+%2B+11%5E2+=+%28h%2B1%29%5E2\"$
\n" ); document.write( "h^2 + 121 = h^2 + 2h + 1
\n" ); document.write( "subtract h^2 from both sides
\n" ); document.write( "121 = 2h + 1
\n" ); document.write( "121 - 1 = 2h
\n" ); document.write( "h = 120/2
\n" ); document.write( "h = 60 ft is the height up the building
\n" ); document.write( " \n" ); document.write( "

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