document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=922882>Question 922882</A>: <I><SPAN STYLE=\"word-break: break-all;\"> side e= 52 side f=41 angle F=48 <BR>\n" );
document.write( "find all possible measures of angle E to the nearest degree\r<BR>\n" );
document.write( "\n" );
document.write( "I know you must use the rules for an ambiguous cases. I have figured out all of the information I just need to know if it has one, two, or zero solutions. I believe it is one but I am not sure. I worked out that angle D is 61.52, angle E is 70.48, angle F is 48. I also know side e is 52, side f is 41, and side d is 48.49. Please tell me if it has 1,2, or 0 solutions. please & thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559758 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=559758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> side e= 52 side f=41 angle F=48 <BR>\n" );
document.write( "find all possible measures of angle E to the nearest degree <BR>\n" );
document.write( "I know you must use the rules for an ambiguous cases. I have figured out all of the information I just need to know if it has one, two, or zero solutions. I believe it is one but I am not sure. I worked out that angle D is 61.52, angle E is 70.48, angle F is 48. I also know side e is 52, side f is 41, and side d is 48.49. Please tell me if it has 1,2, or 0 solutions. please & thank you!<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Using the Law of Sines, I get::<BR>\n" );
document.write( "sin(E)/52 = sin(48)/41<BR>\n" );
document.write( "sin(E) = 0.7431<BR>\n" );
document.write( "E = arcsin(0.7431) = 48 or 180-48 = 132 degrees<BR>\n" );
document.write( "But E cannot be 132 degrees because 48+48+132 > 180<BR>\n" );
document.write( "Therefore E can only be 48 degrees<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );