document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767166>Question 767166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A flagpole casts a shadow 25 feet long. \r<BR>\n" );
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document.write( "If the angle of elevation from the tip of the shadow to the top of the flagpole is 60° , find the height of the flagpole. \r<BR>\n" );
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document.write( "Give an exact number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467472 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><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=467472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The flagpole, shadow, and a line from the far end (tip) of the shadow to the top of the flag form a 30-60-90 triangle.  The side lengths of such a triangle are always in the same proportions.<P><BR>\n" );
document.write( "Opposite 30 : x<P><BR>\n" );
document.write( "Opposite 90:  2x<P><BR>\n" );
document.write( "Opposite 60 : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2Ax ALIGN=MIDDLE  ALT=\"sqrt%283%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><P><BR>\n" );
document.write( "The shadow is opposite the 30 degree angle.  We know the shadow is 25 feet long.  x = 25 feet.  That means the flag pole height, which is opposite the 60 degree angle, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2A25 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2A25\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet long. </SPAN>\n" );
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