document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194101>Question 194101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is (c) and one (a)leg is 24 and other (b)leg is 32.\r<BR>\n" );
document.write( "\n" );
document.write( "Find the sin A and tan A \r<BR>\n" );
document.write( "\n" );
document.write( "also <BR>\n" );
document.write( "a= 2.8m, B= 41.8 degrees\r<BR>\n" );
document.write( "\n" );
document.write( "and<BR>\n" );
document.write( "The hypotenuse of a right triangle is 46.0in and one leg is 35.4 Find the length of the other leg.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145692 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=145692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> right  triangle  means  pythagorous  theorem  holds,,,,,c^2=a^2+b^2<BR>\n" );
document.write( "finding  c  from  given  two  legs,<BR>\n" );
document.write( ",<BR>\n" );
document.write( "c^2 = 24^2 + 32^2 =1600<BR>\n" );
document.write( "c=40<BR>\n" );
document.write( ",<BR>\n" );
document.write( "rough  sketch  of  triangle  helps.  Label  vertex  opposite  side  with  same  letter,  but  capital.<BR>\n" );
document.write( ",<BR>\n" );
document.write( "sin A =  opposite/hyp = 24 /40  =  .6,,,,,arc  sin  a=  36.9  deg<BR>\n" );
document.write( ",<BR>\n" );
document.write( "tan a = opposite / adjacent = 24/32 = .75,   arc  tan a = 36.9 deg<BR>\n" );
document.write( ",<BR>\n" );
document.write( "other  problem<BR>\n" );
document.write( "again  use  c^2 = a^2  + b^2<BR>\n" );
document.write( "46^2 = 35.4^2 + b^2<BR>\n" );
document.write( "b^2 = 46^2-35.4^2<BR>\n" );
document.write( "b^2=862.8<BR>\n" );
document.write( "b = 29.4<BR>\n" );
document.write( ",<BR>\n" );
document.write( ",Last  problem<BR>\n" );
document.write( "again,  a  sketch  helps  keep  everything  straight<BR>\n" );
document.write( "sum  of  angles  =  180,  therefore  find  last  angle,  180-90-41.8 =48.2  deg<BR>\n" );
document.write( "sin  of  48.2  =  2.8 / c<BR>\n" );
document.write( "c=2.8 / sin 48.2 = 3.756<BR>\n" );
document.write( ",<BR>\n" );
document.write( "sin  41.8 = b/3.756<BR>\n" );
document.write( "b=3.756 * sin 41.8  = 2.5 <BR>\n" );
document.write( "therefore  all  angles  and  all  sides  are  labeled<BR>\n" );
document.write( ",<BR>\n" );
document.write( ",<BR>\n" );
document.write( ",\r<BR>\n" );
document.write( "\n" );
document.write( ", </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );