document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169495>Question 1169495</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 6 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 38°. 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 39°. At that time, what is the distance between him and his friend? (Round to the nearest foot.)\r<BR>\n" );
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document.write( "Answers I have gotten so far that are incorrect: (283,284,285,268,269,270) I am lost. Any help is appreciated!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #794445 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=794445\">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 6 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 38°.<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 39°.<BR>\n" );
document.write( " At that time, what is the distance between him and his friend?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the distance the balloon travels in 1.5 min which is the distance between the two observations made to the car.<BR>\n" );
document.write( "1.5 * 60 * 6 = 540 ft.<BR>\n" );
document.write( "This forms a triangle, the two points and the car, angles 38 and 39, we can find the 3rd angle 180 - 38 - 39 = 103 degrees.<BR>\n" );
document.write( "this is the angle at the car with the two observation points<BR>\n" );
document.write( " Let d = the distance from the car after passing over it<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=d%2Fsin%2838%29 ALIGN=MIDDLE  ALT=\"d%2Fsin%2838%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=540%2Fsin%28103%29 ALIGN=MIDDLE  ALT=\"540%2Fsin%28103%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "sin(103)*d = sin(38)*540<BR>\n" );
document.write( ".97347d = 332.46<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=332.46%2F.97347 ALIGN=MIDDLE  ALT=\"332.46%2F.97347\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 341.2 ft to the car <BR>\n" );
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