document.write( "Question 204104: Could someone please help me out? I got this far and now am lost.....\r
\n" ); document.write( "\n" ); document.write( "A rope is stretched from the ground to the top of a tower. The wire is 10 ft. long. The height is 2 ft greater than the distance from the towers base to the end of the wire. Find the distance &height.\r
\n" ); document.write( "\n" ); document.write( "r(r+10)=2
\n" ); document.write( "r(r+10)-2=0
\n" ); document.write( "(r- )(r+ ) not sure???????
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Algebra.Com's Answer #154047 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
the rope/wire is the hypotenuse of a right triangle formed by the rope/wire, the tower, and the base distance\r
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\n" ); document.write( "\n" ); document.write( "let x=\"base distance\", so x+2=\"tower height\"\r
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\n" ); document.write( "\n" ); document.write( "by Pythagoras, x^2 + (x+2)^2 = 10^2 ___ x^2 + x^2 + 4x + 4 = 100 ___ x^2 + 2x +2 = 50\r
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\n" ); document.write( "\n" ); document.write( "x^2 + 2x - 48 = 0 ___ factoring ___ (x+8)(x-6) = 0 ___ so, x = 6 and x+2 = 8
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