document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193545>Question 1193545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lighthouse is 10 nautical miles north-east of a ship. How far is the ship west of the<BR>\n" );
document.write( "lighthouse (correct to two decimal places). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825597 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825597\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw this<BR>\n" );
document.write( "There is a right triangle with the hypotenuse the distance to the lighthouse. That angle is 45 degrees east of north.<BR>\n" );
document.write( "One of the legs is the distance north to the lighthouse, the other the distance west from the lighthouse. Both of them are the same length in this 45-45-90 triangle, and the distance is 10/sqrt(2)=5 sqrt (2) nm, or about 7.07 nm. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );