document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433691>Question 433691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am in Algebra 1(Integrated Algebra), as in the 9th grade class. We are doing right triangles and using Pythagorean Therom and ratios like tangent, sine, and cosine. I am confused on the following problem:<BR>\n" );
document.write( "        <BR>\n" );
document.write( "      The legs of a right triangle measure 54 and 33. Find to the nearest      <BR>\n" );
document.write( "        degree the measure of the smallest angle of the triangle.\r<BR>\n" );
document.write( "\n" );
document.write( "Is the 54 the hypotenuse or either the opposite or adjacent leg? And, which angle is the smallest? I know it is not the one that measures 90 degrees. Thank you so much for your time! I would greatly appreciate it if you could get back to me before tomorrow! Thanks again! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300675 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The legs of a right triangle measure 54 and 33.<BR>\n" );
document.write( " Find to the nearest degree the measure of the smallest angle of the triangle.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Usually the \"legs\" refer to the sides that are not the hypotenuse<BR>\n" );
document.write( "It will help to draw this out triangle ABC, where B is the right angle and b is the hypotenuse, then<BR>\n" );
document.write( "a = 33<BR>\n" );
document.write( "c = 54<BR>\n" );
document.write( ":<BR>\n" );
document.write( "find angle A, side opposite = 33, side adjacent = 54 (smallest angle has smallest side opposite (a)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "tan(A) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33%2F54 ALIGN=MIDDLE  ALT=\"33%2F54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the arctan (tan^-1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33%2F54%29 ALIGN=MIDDLE  ALT=\"33%2F54%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 31.43 degrees<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can confirm this is the smallest angle by finding C<BR>\n" );
document.write( "180 - 90 - 33.429 = 58.57<BR>\n" );
document.write( " :<BR>\n" );
document.write( "Did this make sense to you now? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );