document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=195801>Question 195801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is a word problem that I am having trouble with...\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 d from the towers base to the end of the wire. Find the distance d and the height of the tower. \r<BR>\n" );
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document.write( " Thank you and appreciate any help!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146825 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=146825\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Presuming the tower is exactly vertical and the ground is perfectly level -- an ok assumption in a math word problem, but not necessarily valid in a real life situation -- then you have a right triangle with a hypotenuse of <b><i></i>30</b>, a short leg of <b><i>d</i></b>, and a long leg of <b><i>d</i> + 6</b>, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ d^2 + (d + 6)^2 = 30^2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ d^2 + d^2 + 12d + 36 = 900\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2d^2 + 12d - 864 = 0\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ d^2 + 6d - 432 = 0\">\r<BR>\n" );
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document.write( "So just solve the quadratic for <b><i>d</i></b>.  Hint:  It factors.  Exclude the negative root because you are looking for a positive measure of length.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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