document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115066>Question 1115066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A guy wire is fastened 6 metres from the base of a flagpole and makes angle 30° with the ground. Determine the length of the guy wire and how far up the flagpole it is fastened. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729964 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=729964\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> --<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2830%29=1%2F2 ALIGN=MIDDLE  ALT=\"sin%2830%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%2830%29=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"cos%2830%29=sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If r is the length of the guy wire  (make drawing to see everything), <BR>\n" );
document.write( "then  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%2830%29=6%2Fr ALIGN=MIDDLE  ALT=\"cos%2830%29=6%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2F6=2%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"r%2F6=2%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=12%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"r=12%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=%2812%2Fsqrt%283%29%29%28sqrt%283%29%2Fsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"r=%2812%2Fsqrt%283%29%29%28sqrt%283%29%2Fsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=12%2Asqrt%283%29%2F3 ALIGN=MIDDLE  ALT=\"r=12%2Asqrt%283%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=4%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"highlight%28r=4%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----length of guy wire.<BR>\n" );
document.write( "and Pythagorean theorem could be used for finding the height of pole...\r<BR>\n" );
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document.write( "Also recognize, the triangle formed is a special 30-60-90 right triangle.  Long leg is 6 meters.  Let x be the short leg (height of the flag pole).  The wire is then 2x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6%5E2=%282x%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B6%5E2=%282x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B36=4x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B36=4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2=36 ALIGN=MIDDLE  ALT=\"3x%5E2=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=12 ALIGN=MIDDLE  ALT=\"x%5E2=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%282%2A2%2A3%29 ALIGN=MIDDLE  ALT=\"x=sqrt%282%2A2%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=2%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=2%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------height<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"highlight%284%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------guy wire </SPAN>\n" );
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