document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935601>Question 935601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two ships leave the docks D, at the same time Pricess pearl P, sales on a baring of 160 degrees at a speed of 18 km/hour and a Regal rose R, sales on abearing of 105 degrees. After two hours the angle DRP is 80 degree.<BR>\n" );
document.write( "Find <BR>\n" );
document.write( "a-  The distance between the ships at this time.<BR>\n" );
document.write( "b- The speed of the regal rose. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568871 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=568871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two ships leave the docks D, at the same time Princess Pearl P, sails on a bearing of 160 degrees at a speed of 18 km/hour and a Regal rose R, sales on a bearing of 105 degrees.<BR>\n" );
document.write( " After two hours the angle DRP is 80 degree.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Draw at triangle DPR, <BR>\n" );
document.write( "side DP: 2*18 = 36 km<BR>\n" );
document.write( "Angle D: 160-105 = 55 degrees<BR>\n" );
document.write( "Angle R: Given as 80 degrees<BR>\n" );
document.write( "Angle P: 180-55-80 = 45 degrees<BR>\n" );
document.write( "Find<BR>\n" );
document.write( "a-The distance between the ships at this time<BR>\n" );
document.write( "Let d = distance between the ship R to P<BR>\n" );
document.write( "Use the law of sines<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Fsin%2855%29 ALIGN=MIDDLE  ALT=\"d%2Fsin%2855%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2Fsin%2880%29 ALIGN=MIDDLE  ALT=\"36%2Fsin%2880%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "find the sines and cross multiply<BR>\n" );
document.write( ".985d = .819*36<BR>\n" );
document.write( "d = 29.49/.985<BR>\n" );
document.write( "d = 29.9 km apart<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b- The speed of the Regal Rose<BR>\n" );
document.write( "let p = the distance traveled by the Regal Rose<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2Fsin%2845%29 ALIGN=MIDDLE  ALT=\"p%2Fsin%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2Fsin%2880%29 ALIGN=MIDDLE  ALT=\"36%2Fsin%2880%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".985p = .707*36<BR>\n" );
document.write( "p = 25.452 km<BR>\n" );
document.write( "Find the speed<BR>\n" );
document.write( "25.452/2 = 12.7 km/hr </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );