document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316432>Question 316432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A wire us stretched from the ground to the top of a pole. The wire is 34 ft long. The height of the pole is 14 ft greater than the distance d from the pole's base to the bottom of the wire. Find the distance d and the height of the pole. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226375 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "We'll use this formula to solve such: a^2+b^2=c^2 (c will represent the hypotenuse)<BR>\n" );
document.write( "(d+14)^2+d^2=34^2 Expand this out to:<BR>\n" );
document.write( "d^2+28d+196+d^2=1156 Rewritten as:<BR>\n" );
document.write( "2d^2+196-1156=0 Take out a 2 to get:<BR>\n" );
document.write( "2(d^2+14d-480)=0 Now we can factor this to get:<BR>\n" );
document.write( "2(d+30)(d-16)=0 Now solve for d to get:<BR>\n" );
document.write( "d=-30<BR>\n" );
document.write( "d=16 <BR>\n" );
document.write( "The only one that makes sense is 16 feet so the pole is:<BR>\n" );
document.write( "30 feet and the distance on the ground is 16 feet. <BR>\n" );
document.write( "Make sense?<BR>\n" );
document.write( "RJ <BR>\n" );
document.write( "www.math-unlock.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );