document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034851>Question 1034851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45° angle to see a hot air balloon. Emily looks up at a 60° angle to see the same hot air balloon. Approximately how far is the hot air balloon off the ground? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649508 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You'll have to draw the diagram as it is not something I can do here...<BR>\n" );
document.write( "Anyway, you'l have two triangles, a 45-45-90 and a 30-60-90...we can use the law of sines to find the hypotenuse of the 30-60-90 triangle by first showing how the outside triangle has angles of 45, 120, and 15 degrees.  <BR>\n" );
document.write( "Call the hypotenuse of the inside triangle, c, so that<BR>\n" );
document.write( "(sin 15)/100 = (sin 45)/c<BR>\n" );
document.write( "which leads to <BR>\n" );
document.write( "c = 100 sin 45 / sin 15 = 273.2<BR>\n" );
document.write( "The height of the balloon is sqrt(3)/2 times that...or 236.6 yards... </SPAN>\n" );
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