document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=797791>Question 797791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tree is supported by a wire anchored in the ground 15 feet from its base. The wire is 4 feet longer than the height that it reaches on the tree. How long is the wire? Use the Pythagorean theorem to write a polynomial equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #481943 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=481943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A tree is supported by a wire anchored in the ground 15 feet from its base. The wire is 4 feet longer than the height that it reaches on the tree. How long is the wire? Use the Pythagorean theorem to write a polynomial equation.<BR>\n" );
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document.write( "Draw the picture::<BR>\n" );
document.write( "You have a right triangle with <BR>\n" );
document.write( "base = 15 ft.; height = x ft.; hypotenuse = x+4 ft.<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "x^2 + 15^2 = (x+4)^2<BR>\n" );
document.write( "x^2 + 225 = x^2 + 8x + 16<BR>\n" );
document.write( "8x = 225-16<BR>\n" );
document.write( "8x = 209<BR>\n" );
document.write( "x = 26.125 ft<BR>\n" );
document.write( "x+4 = 30.125 ft (length of the wire)<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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