document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96839>Question 96839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this trigo problem.<BR>\n" );
document.write( "Two roads intersect at an obtuse angle. Two points are chosen:X, 0.12 mi from the intersection, and Y, 0.24 mi from the intersection. If the line of sight from X to Y makes an angle of 52 degrees with one road at point X, what is the measure of the obtuse angle between the roads?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70460 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=70460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two roads intersect at an obtuse angle. Two points are chosen:X, 0.12 mi from the intersection, and Y, 0.24 mi from the intersection. If the line of sight from X to Y makes an angle of 52 degrees with one road at point X, what is the measure of the obtuse angle between the roads?\r<BR>\n" );
document.write( "\n" );
document.write( "------------------<BR>\n" );
document.write( "Draw the picture.   Label X,Y and let the obtuse angle be labeled \"Z\".<BR>\n" );
document.write( "You are given the length of two sides:<BR>\n" );
document.write( "x=0.12 , y=0.24<BR>\n" );
document.write( "You are given the angle X = 52 degrees<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Use the Law of Sines to find angle Y:<BR>\n" );
document.write( "sin Y/0.12 = sin 52/0.24<BR>\n" );
document.write( "sin Y = 0.12[sin 52/0.24] = 0.39400...<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Find anti-sin (0.39400...) = 23.204 degrees<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Then angle Z = 180-52-23.24 = 104.796... degrees<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );