document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=195046>Question 195046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having a problem solving this word problem. Any help would be appreciated!\r<BR>\n" );
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document.write( "A rope is stretched from the ground to the top of an antenna tower. The wire is 30ft long. The height of the tower is 6ft. greater than the distance from the base to the end of the rope. Find the distance from the wire to the tower. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146316 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=146316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lets  view  this  as  a  right  triangle  problem<BR>\n" );
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document.write( "The  hypotenuse  is  30,  the  length  of  the  rope<BR>\n" );
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document.write( "one  leg  is  b,,,,the  unknown  base<BR>\n" );
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document.write( "the  other  leg  is  (b+6),,,unknown  height,  but  related  to  base<BR>\n" );
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document.write( "Using  pythagouous,  c^2 = a^2 + b^2<BR>\n" );
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document.write( "30 ^2 = b^2 + (b+6)^2<BR>\n" );
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document.write( "900  = b^2 + ( b^2 +12b +36)<BR>\n" );
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document.write( "0 = 2 b^2 +12b -864<BR>\n" );
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document.write( "0 = (2) (b^2 +6b -432)<BR>\n" );
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document.write( "0 = 2 ( b+24) (b-18)<BR>\n" );
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document.write( "b = 18, or  -24 ( not  realistic)<BR>\n" );
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document.write( "Therefore  base  is  18,  height  is  24 (18+6)<BR>\n" );
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document.write( "checking<BR>\n" );
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document.write( "30^2 = 18^2 +(18+6)^2 = 18^2 + 24^2 = 900,,,,ok </SPAN>\n" );
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