document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935069>Question 935069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One observer at point A estimates the angle of elevation to the basket of a hot air balloon to be 55°, while another observer 100 yards away at point B estimates the angle of elevation to be 36°. How high off the ground is the basket of the hot air balloon? Round to the nearest whole number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568192 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=568192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "make a triangle between basket and points A and B:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "point A supplementary angle:<BR>\n" );
document.write( "180 - 55 = 125<BR>\n" );
document.write( "---<BR>\n" );
document.write( "angle at point C, the basket:<BR>\n" );
document.write( "180 - 125 - 36 = 19<BR>\n" );
document.write( "---<BR>\n" );
document.write( "use the law of sines to find the length of side \"b\":<BR>\n" );
document.write( "---<BR>\n" );
document.write( "b/sinB = c/sinC<BR>\n" );
document.write( "b = sinB * c/sinC<BR>\n" );
document.write( "b = sin(36) * 100/sin(19)<BR>\n" );
document.write( "b = 180.541384114 yards<BR>\n" );
document.write( "---<BR>\n" );
document.write( "make a new right triangle with a vertical side \"a\" directly below the basket, point B as the 90 degree point, and point A as the other vertex:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the new angle at point C (the basket):<BR>\n" );
document.write( "---<BR>\n" );
document.write( "180 - 55 - 90 = 35<BR>\n" );
document.write( "---<BR>\n" );
document.write( "use the law of sines to find the length of side \"a\":<BR>\n" );
document.write( "---<BR>\n" );
document.write( "a/sinA = b/sinB<BR>\n" );
document.write( "a = sinA * b/sinB<BR>\n" );
document.write( "a = sin(55) * 180.541384114/sin(90)<BR>\n" );
document.write( "a = 147.891 yards<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "height of basket above ground = 147.9 yards<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );