document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973143>Question 973143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two ships are out in a storm in the ocean. The captain of the ship that is farthest out sees a lighthouse on shore. The angle of elevation in looking to the top of the lighthouse is 4 degrees. The light house is 100 m in height.From a second ship that is closer to the lighthouse the angle of elevation looking up at the tower is 6 degrees. Use this information to determine how far apart the two ships are.Please draw a diagram also.\r<BR>\n" );
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document.write( "Thanks :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595532 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=595532\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two ships are out in a storm in the ocean.<BR>\n" );
document.write( " The captain of the ship that is farthest out sees a lighthouse on shore.<BR>\n" );
document.write( " The angle of elevation in looking to the top of the lighthouse is 4 degrees.<BR>\n" );
document.write( " The light house is 100 m in height.<BR>\n" );
document.write( " From a second ship that is closer to the lighthouse the angle of elevation looking up at the tower is 6 degrees.<BR>\n" );
document.write( " Use this information to determine how far apart the two ships \r<BR>\n" );
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document.write( "100<BR>\n" );
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document.write( "_________a__________6\______________4\______<BR>\n" );
document.write( "|-------------------------A---------------------------|\r<BR>\n" );
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document.write( "You find the leg of each right triangle using the law of sines<BR>\n" );
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document.write( "The small triangle, find the 3rd angle 180 - 90 - 6 = 94<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fsin%2894%29 ALIGN=MIDDLE  ALT=\"a%2Fsin%2894%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2Fsin%286%29 ALIGN=MIDDLE  ALT=\"100%2Fsin%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F.99756 ALIGN=MIDDLE  ALT=\"a%2F.99756\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F.10453 ALIGN=MIDDLE  ALT=\"100%2F.10453\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( ".10453a = 100*.99756<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99.756%2F.10453 ALIGN=MIDDLE  ALT=\"99.756%2F.10453\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 954.3 m from the lighthouse is the nearby ship<BR>\n" );
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document.write( "The larger triangle, find the 3rd angle 180 - 90 - 4 = 96<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2Fsin%2896%29 ALIGN=MIDDLE  ALT=\"A%2Fsin%2896%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2Fsin%284%29 ALIGN=MIDDLE  ALT=\"100%2Fsin%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2F.99452 ALIGN=MIDDLE  ALT=\"A%2F.99452\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F.069756 ALIGN=MIDDLE  ALT=\"100%2F.069756\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( ".069756A = 100*.99452<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99.452%2F.069756 ALIGN=MIDDLE  ALT=\"99.452%2F.069756\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 1430.1 m from the lighthouse is the further ship<BR>\n" );
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document.write( "The distance between the ships: 1430.1 - 954.3 = 475.8 meters<BR>\n" );
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document.write( "You better check my math here.\r<BR>\n" );
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