document.write( "Question 325205: a guy wire on a cell phone tower is 130 ft long and is attached to the top of the tower. The height of the tower is 70ft longer than the distance from the point on the ground where the wire is attached to the bottom of the tower. Find the height of the tower? \n" ); document.write( "
Algebra.Com's Answer #232889 by stanbon(75887)\"\" \"About 
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A guy wire on a cell phone tower is 130 ft long and is attached to the top of the tower.
\n" ); document.write( "The height of the tower is 70ft longer than the distance from the point on the ground where the wire is attached to the bottom of the tower.
\n" ); document.write( "Find the height of the tower?
\n" ); document.write( "----
\n" ); document.write( "Draw the picture.
\n" ); document.write( "You should have a right triangle with base = x, hypotenuse = 130
\n" ); document.write( "and height = x+70.
\n" ); document.write( "----
\n" ); document.write( "Equation:
\n" ); document.write( "x^2 + (x+70)^2 = 130^2
\n" ); document.write( "x^2 + x^2 + 140x + 70^2 = 130^2
\n" ); document.write( "2x^2 + 140x - 12000 = 0
\n" ); document.write( "x^2 + 70x - 6000 = 0
\n" ); document.write( "(x-50)(x+120) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 50 ft (base)
\n" ); document.write( "x+70 = 120 ft(tower)
\n" ); document.write( "===================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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