document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008892>Question 1008892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measure of an interior angle of a regular polygon is 144 degrees.find the apothem if half of one side of the polygon measures 5in. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626155 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=626155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a decagon, whose interior angles are 36 degrees each.<BR>\n" );
document.write( "Hard to draw the triangle here, but to determine the length of the apothem, you need the leg of a right triangle whose other leg is 2.5 in and has angles of 18 and 72 degrees.<BR>\n" );
document.write( "Call the apothem, a.  Then we have<BR>\n" );
document.write( "a/2.5 = tan 72<BR>\n" );
document.write( "a = 2.5 tan 72 = 7.69 inches </SPAN>\n" );
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