document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104907>Question 1104907</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One day visibility was limited to 1700m. Ship Blue was travelling west on a parallel course to Ship White, travelling east. The courses are 800m apart. Blue ship's velocity is 8 km/h. If the ships were in sight of each other for 15 mins, what's the velocity, in km/h, of white ship? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719672 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=719672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  One day visibility was limited to 1700m.<BR>\n" );
document.write( " Ship Blue was travelling west on a parallel course to Ship White, travelling east.<BR>\n" );
document.write( " The courses are 800m apart.<BR>\n" );
document.write( " Blue ship's velocity is 8 km/h.<BR>\n" );
document.write( " If the ships were in sight of each other for 15 mins, what's the velocity, in km/h, of white ship?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let s = the white ship's velocity<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+8) = the relative speed between the two ships<BR>\n" );
document.write( "Assume the blue ship is stationary<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can draw this scenario as a scalene triangle. The height is 800 m<BR>\n" );
document.write( "The Blue ship at the apex of the two equal sides which are 1700 m<BR>\n" );
document.write( "The third side is the distance the ships are in sight of each other.<BR>\n" );
document.write( "The triangle is made up of two right triangles which we can solve.<BR>\n" );
document.write( "Find the equal angle (A) using the sine<BR>\n" );
document.write( "sin(A) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=800%2F1700 ALIGN=MIDDLE  ALT=\"800%2F1700\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 28.07 degrees<BR>\n" );
document.write( "Find the third side, using the cosine of 28.07 <BR>\n" );
document.write( "This will be half the distance (x) that they are in sight of each other <BR>\n" );
document.write( "cos(28.07) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F1700 ALIGN=MIDDLE  ALT=\"x%2F1700\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 1500 meters<BR>\n" );
document.write( "the distance they are in sight 2(1500) = 3000 meter which is 3 km<BR>\n" );
document.write( "Given they were in sight of each other for 15 min which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "Use a time equation to find the speed of the white ship<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28s%2B8%29 ALIGN=MIDDLE  ALT=\"3%2F%28s%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s + 8 = 3(4)<BR>\n" );
document.write( "s + 8 = 12<BR>\n" );
document.write( "s = 12 - 8<BR>\n" );
document.write( "s = 4 km/hr is the speed of the white ship\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );