document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=390210>Question 390210</A>: <I><SPAN STYLE=\"word-break: break-all;\"> this problem is APPLICATION OF OBLIQUES TRIANGLES: trigonometry\r<BR>\n" );
document.write( "\n" );
document.write( "two ships leave the pier and the angle between their sail paths is 50 degree. an hour later , one ship travelled 300 mi. while the other has travelled 200 mi how far aprat are the ships at this time </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280259 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=280259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this problem is APPLICATION OF OBLIQUES TRIANGLES: trigonometry <BR>\n" );
document.write( "two ships leave the pier and the angle between their sail paths is 50 degree. an hour later , one ship travelled 300 mi. while the other has travelled 200 mi how far aprat are the ships at this time.\r<BR>\n" );
document.write( "\n" );
document.write( "When given two sides and the included angle in a triangle, use the Law of Cosine to find the third side.<BR>\n" );
document.write( "In this problem the two sides are 200 miles and 300 miles and the included angle is 50 deg.\r<BR>\n" );
document.write( "\n" );
document.write( "label the two sides a & b and the third side,c.<BR>\n" );
document.write( "c^2=a^2+b^2-2ab Cos 50 deg.<BR>\n" );
document.write( "c^2=200^2+300^2-2*200*300 cos50 deg<BR>\n" );
document.write( "     =40000+90000-120000*cos 50<BR>\n" );
document.write( "     =130000-77135=52865<BR>\n" );
document.write( "   c=sqrt(52685)=230 miles<BR>\n" );
document.write( "ans: After one hour, the ships are 230 miles apart </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );