document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1136007>Question 1136007</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second, while keeping it at a constant altitude. As he approaches the parking lot of a market, he notices that the angle of depression from his balloon to a friend's car in the parking lot is 39°. A minute and a half later, after flying directly over this friend's car, he looks back to see his friend getting into the car and observes the angle of depression to be 33°. At that time, what is the distance between him and his friend? (Round to the nearest foot.)<BR>\n" );
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document.write( "=               ft </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753758 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=753758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second, while keeping it at a constant altitude.<BR>\n" );
document.write( " As he approaches the parking lot of a market, he notices that the angle of depression from his balloon to a friend's car in the parking lot is 39°.<BR>\n" );
document.write( " A minute and a half later, after flying directly over this friend's car, he looks back to see his friend getting into the car and observes the angle of depression to be 33°.<BR>\n" );
document.write( " At that time, what is the distance between him and his friend? (Round to the<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the distance he flies in 90 sec: 90 * 4 = 360 ft <BR>\n" );
document.write( "Draw this out as a triangle<BR>\n" );
document.write( "A = 39 degrees<BR>\n" );
document.write( "B = 33 degrees<BR>\n" );
document.write( "C: 180 - 39 - 33 = 108 degrees<BR>\n" );
document.write( "side opposite C = 360 ft<BR>\n" );
document.write( "Find the side opposite angle A; side a<BR>\n" );
document.write( "Use the law of sines<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fsin%2839%29 ALIGN=MIDDLE  ALT=\"a%2Fsin%2839%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2Fsin%28108%29 ALIGN=MIDDLE  ALT=\"360%2Fsin%28108%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "sin(108)*a = sin(39)*360<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%2839%29%2A360%29%2Fsin%28108%29 ALIGN=MIDDLE  ALT=\"%28sin%2839%29%2A360%29%2Fsin%28108%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "using your calc<BR>\n" );
document.write( "a ~ 238 ft from his final position to his friend on the ground<BR>\n" );
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