document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036914>Question 1036914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The swim portion of a triathlon follows a triangular path. The swimmers start by swimming to a buoy that is placed 900m from the starting point at an angle of N15° E. Upon reaching the buoy, the swimmers change their heading to E30° S and swim another 1200m. Finally they return to the starting point and jump on their Bikes. How long was the swim in total?\r<BR>\n" );
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document.write( "Please solve this ASAP! I have tried but it is very difficult to punch in. Sorry about that!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651610 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651610\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have a triangle with angles A, B, and C, and sides a, b, c.<BR>\n" );
document.write( "One side is 900m. Find the other 2 sides<BR>\n" );
document.write( "The angles of every triangle add up to 180 degrees<BR>\n" );
document.write( "A+B+C = 180º<BR>\n" );
document.write( "15+30 = 45<BR>\n" );
document.write( "180-45 = 135 degrees is your third angle. Let's call them:<BR>\n" );
document.write( "A = 15<BR>\n" );
document.write( "B = 30<BR>\n" );
document.write( "C = 135<BR>\n" );
document.write( "And the sides, we'll call side b = 900m.<BR>\n" );
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document.write( "The sine rule says:<BR>\n" );
document.write( "a/sinA =  b/sinB = c/sin C<BR>\n" );
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document.write( "Let's first find side c:<BR>\n" );
document.write( "c/sinC = b/sinB Multiply both sides times sinC:<BR>\n" );
document.write( "c = bsinC/sinB<BR>\n" );
document.write( "= 900sin135/sin30 Use your calculator and you get:<BR>\n" );
document.write( "= 1272.79 is side c<BR>\n" );
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document.write( "Let's find side a:<BR>\n" );
document.write( "a/sinA = b/sinB<BR>\n" );
document.write( "a = bsinA/sinB<BR>\n" );
document.write( "900sin15/sin30<BR>\n" );
document.write( "= 465.87 is your third side<BR>\n" );
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document.write( "How long was the swim?<BR>\n" );
document.write( "900+1272.79+465.87 = 2638.66 meters.<BR>\n" );
document.write( "See the picture I made you below<BR>\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=addingup&illustration_name=triangle_perimeter.JPG\">\r<BR>\n" );
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