document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014765>Question 1014765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 14°52'. When the boat stops, the angle of depression is 45°10'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631129 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=631129\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have to draw this to have any chance to solve it.<BR>\n" );
document.write( "The angle from the boat to the top of the lighthouse is 14d52m by alternate interior angles.  The tangent of that is 200/x, where x is the first distance.<BR>\n" );
document.write( "x tangent 14d52m equals 200<BR>\n" );
document.write( "200/tangent 14d52 m =x<BR>\n" );
document.write( "x=753.4189'<BR>\n" );
document.write( "In the same fashion<BR>\n" );
document.write( "200/tangent 45d10' is the final distance.  That is 198.84 feet away. <BR>\n" );
document.write( "If you do this all without rounding, it will be 554.58 feet (753.42-198.84) the boat moved. </SPAN>\n" );
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