document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=755777>Question 755777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6. The area of a polygon is 320 square units, and one of its sides measures 48 units. The area of a second, similar polygon is 180 square units. What is the length of its side corresponding to the 48-unit side in the first polygon?\r<BR>\n" );
document.write( "\n" );
document.write( "11. The legs of a right triangle measure 19.3 meters and 12.2 meters. To the nearest tenth, what is the measure of the smallest angle?\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459827 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=459827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6. The area of a polygon is 320 square units, and one of its sides measures 48 units. The area of a second, similar polygon is 180 square units. What is the length of its side corresponding to the 48-unit side in the first polygon?\r<BR>\n" );
document.write( "\n" );
document.write( "Solution:<BR>\n" );
document.write( "The ratio between the area of smaller to bigger polygon is 180/320 or 9/16.\r<BR>\n" );
document.write( "\n" );
document.write( "The ratio between the length of smaller to bigger polygon is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%2F16%29 ALIGN=MIDDLE  ALT=\"sqrt%289%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3/4.\r<BR>\n" );
document.write( "\n" );
document.write( "length of  side corresponding to the 48-unit side in the first polygon<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%283%2F4%29 ALIGN=MIDDLE  ALT=\"48%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2836%29 ALIGN=MIDDLE  ALT=\"highlight%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "11. The legs of a right triangle measure 19.3 meters and 12.2 meters. To the nearest tenth, what is the measure of the smallest angle? \r<BR>\n" );
document.write( "\n" );
document.write( "Solution:\r<BR>\n" );
document.write( "\n" );
document.write( "Let &#1012; be the measure of the smallest angle<BR>\n" );
document.write( "tan &#1012; = 12.2/19.3 <BR>\n" );
document.write( "&#1012; = tan inverse of 12.2/19.3  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2832.298%29 ALIGN=MIDDLE  ALT=\"highlight%2832.298%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );