document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=951623>Question 951623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you show/explain the steps to \"Find the measure of each angle to the nearest tenth of a degree for cos B = 0.2493?  I know the answer is 75.6, but I cannot figure out how to get the answer.  Just in case you need info about the triangle for cos B.....adjacent leg = 1 and the hypotenuse = the square root of 26. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581174 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=581174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Right Triangle,  A is the unknown angle.  Draw this:<BR>\n" );
document.write( "Right triangle, right angle C, narrow angle A, your angle B.  <BR>\n" );
document.write( "b is opposite side of B;<BR>\n" );
document.write( "1 is opposite side of angle A;\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28B%29=1%2Fsqrt%2826%29=0.1961 ALIGN=MIDDLE  ALT=\"cos%28B%29=1%2Fsqrt%2826%29=0.1961\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From that, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=arcos%280.1961%29=78.69%2Adegree ALIGN=MIDDLE  ALT=\"arcos%280.1961%29=78.69%2Adegree\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   This should be your angle B.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Your angle A should be as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29=1%2Fsqrt%2826%29=0.1961 ALIGN=MIDDLE  ALT=\"sin%28A%29=1%2Fsqrt%2826%29=0.1961\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=arcsin%280.1961%29=11.31%2Adegree ALIGN=MIDDLE  ALT=\"arcsin%280.1961%29=11.31%2Adegree\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Simple definitions of sine and cosine for right triangles was used  (and help of scientific calculator).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The angle C is the right angle, 90 degrees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "CHECK:  11.31+78.69+90=180\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "SUMMARY:<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Angle A, 11.31 degree<BR>\n" );
document.write( "Angle B, 78.69 degree<BR>\n" );
document.write( "----------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A drawing would help.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Your expected angle B would seem to be arcos(0.2493)=75.56, but this does not agree with your given \"adjascent side\" and hypotenuse. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );