document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118990>Question 118990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The angle of depression from the top of a flagpole on top of a lighthouse to a boat on the ocean is 37 degrees, while the angle of depression from the bottom of the flagpole to the boat is 36.8 degrees. If the boat is 1 mile away from shore and the lighthouse is right on the edge of the shore, how tall is the flagpole? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87129 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=87129\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> e angle of depression from the top of a flagpole on top of a lighthouse to a boat on the ocean is 37 degrees, while the angle of depression from the bottom of the flagpole to the boat is 36.8 degrees. If the boat is 1 mile away from shore and the lighthouse is right on the edge of the shore, how tall is the flagpole?<BR>\n" );
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document.write( "First find the height of the top of the flagpole to sea level<BR>\n" );
document.write( "A right triangle formed by this side (Let it = a) and the 1 mile distance to the boat><BR>\n" );
document.write( "We want the height of the flagpole in feet. Change 1 mi to feet: 5280 ft<BR>\n" );
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document.write( "Find the interior angle at the top of the triangle: 90 - 37 = 53 degrees<BR>\n" );
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document.write( "Using the tangent of 53 degrees<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5280%2F%28tan%2853%29%29 ALIGN=MIDDLE  ALT=\"5280%2F%28tan%2853%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 3978.8 ft is the top of the flagpole above sea level<BR>\n" );
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document.write( "Find the height above sea-level of the base of the flagpole, Let this side = b<BR>\n" );
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document.write( "Find the interior angle at the base of the triangle: 90 - 36.8 = 53.2 degrees<BR>\n" );
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document.write( "Using the tangent of 53.2 degrees <BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5280%2F%28tan%2853.2%29%29 ALIGN=MIDDLE  ALT=\"5280%2F%28tan%2853.2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 3950 ft is the base of the flagpole above sea level<BR>\n" );
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document.write( "Flag pole = a - b<BR>\n" );
document.write( "3978.8 - 3950 = 28.8 ft is the height of the flagpole </SPAN>\n" );
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