document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=428216>Question 428216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hot air balloon is seen over Seven Springs simultaneously by two observers standing at two different points on the ground. ( The 2 people are facing each other and the balloon is in between them in the air.) They are 1.75 miles apart on ground level. The angles of elevation are 33 degrees and 37 degrees respectively. How high above the ground is the balloon? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297713 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=297713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Locate the point which is directly below the balloon. Call the point (C)<BR>\n" );
document.write( "The person who sees the balloon at 37 degrees elevation<BR>\n" );
document.write( "is looking higher, so that person is closer to the balloon.<BR>\n" );
document.write( "Call their position (A)<BR>\n" );
document.write( "Call the position of the other person (B)<BR>\n" );
document.write( "Call the position of the balloon (D)<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "AB = 1.75 miles<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%2837%29 ALIGN=MIDDLE  ALT=\"+tan%2837%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = DC / AC<BR>\n" );
document.write( "and, for the other person,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%2833%29 ALIGN=MIDDLE  ALT=\"+tan%2833%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = DC / BC<BR>\n" );
document.write( "------------<BR>\n" );
document.write( " .7536  = DC / AC<BR>\n" );
document.write( " .6494  = DC / BC<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "DC = .7536 x AC<BR>\n" );
document.write( "DC = .6494 x BC<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( ".7536 x AC = .6494 x BC<BR>\n" );
document.write( "and<BR>\n" );
document.write( "Since AB = AC + BC<BR>\n" );
document.write( "1.75 = AC + BC<BR>\n" );
document.write( "AC = 1.75 - BC<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( ".7536 x (1.75 - BC) = .6494 x BC<BR>\n" );
document.write( "Solve this for BC, then plug answer<BR>\n" );
document.write( "back into  .6494  = DC / BC<BR>\n" );
document.write( "to get the height, DC\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );