document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452573>Question 452573</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The line of sight from a small boat to the light at the top of a 45-foot lighthouse built on a cliff 25 feet above the water makes a 39 degree angle with the water.  To the nearest foot, how far is the boat from the cliff? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311148 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=311148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The line of sight from a small boat to the light at the top of a 45-foot<BR>\n" );
document.write( " lighthouse built on a cliff 25 feet above the water makes a 39 degree angle with the water. <BR>\n" );
document.write( "To the nearest foot, how far is the boat from the cliff?<BR>\n" );
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document.write( "Let d = distance to the base of the cliff (side adjacent to 39 degree angle)<BR>\n" );
document.write( "25 + 45 = 70'; height of lighthouse, side opposite 39 degree angle<BR>\n" );
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document.write( "Tan(39) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2Fd ALIGN=MIDDLE  ALT=\"70%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2Ftan%2839%29 ALIGN=MIDDLE  ALT=\"70%2Ftan%2839%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 86 ft from the base of the cliff<BR>\n" );
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document.write( "Distance from the boat to the cliff (c) itself which is 25' ft above the base, use pythag<BR>\n" );
document.write( "c^2 = 25^2 + 86^2<BR>\n" );
document.write( "c^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28625+%2B+7396%29 ALIGN=MIDDLE  ALT=\"sqrt%28625+%2B+7396%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 89.6 ft </SPAN>\n" );
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