document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143886>Question 1143886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A side and the altitude of a rhombus measure 120m and 90m respectively.<BR>\n" );
document.write( "Find the smaller interior angle of the rhombus. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #764824 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=764824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> see my worksheet below.<BR>\n" );
document.write( "additional comments below the worksheet.\r<BR>\n" );
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document.write( "reference on altitude of a rhombus can be found at <a  rel=nofollow HREF= \"https://www.mathopenref.com/rhombus.html#targetText=The%20altitude%20of%20a%20rhombus,may%20have%20to%20be%20extended).\" target = \"_blank\">https://www.mathopenref.com/rhombus.html#targetText=The%20altitude%20of%20a%20rhombus,may%20have%20to%20be%20extended).</a.\r<BR>\n" );
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document.write( "reference on properties of a rhombus can be found at <a  rel=nofollow HREF= \"https://www.mbacrystalball.com/blog/2015/11/13/quadrilaterals-properties-parallelograms-trapezium-rhombus/\" target = \"_blank\">https://www.mbacrystalball.com/blog/2015/11/13/quadrilaterals-properties-parallelograms-trapezium-rhombus/</a>\r<BR>\n" );
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document.write( "from my worksheet, DE is the altitude of rhombux ABCD.\r<BR>\n" );
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document.write( "\right triangle EAD is formed by the altitude and the closest side of the rhombus.\r<BR>\n" );
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document.write( "DE = 90 mm<BR>\n" );
document.write( "AD = 120 mm\r<BR>\n" );
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document.write( "cos(EDA) = 90/120.\r<BR>\n" );
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document.write( "angle (EDA) = arccos(90/120) = 41.40962211 degrees = angle x in the diagram.\r<BR>\n" );
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document.write( "angle y in the diagram is complementary to angle x, since angle x + y = 90 degrees.\r<BR>\n" );
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document.write( "angle y is the smaller of the interior angles of rhombus ABCD.\r<BR>\n" );
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document.write( "angle y is equal to 90 minus angle x = 48.59037789 degrees.\r<BR>\n" );
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document.write( "that should be your answer as best i can determine.\r<BR>\n" );
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