document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388066>Question 388066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the angles of elevation to an airplane from two points A and B on level ground are 51 degrees and 68 degrees respectively. The points A and B are 2.5 miles apart, and the airplane is east of both points in the same vertical plane. Find the altitude of the plane.\r<BR>\n" );
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document.write( "thanks for the help! i've been stuck on this problem for like an hour now! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274392 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=274392\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the angles of elevation to an airplane from two points A and B on level ground are 51 degrees and 68 degrees respectively. The points A and B are 2.5 miles apart, and the airplane is east of both points in the same vertical plane. Find the altitude of the plane.<BR>\n" );
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document.write( "The interior angle at point B is 180 - 68 = 112º<BR>\n" );
document.write( "Angle C (at the plane) = 180 - (A+B) = 17º<BR>\n" );
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document.write( "Use the Law of Sines to find side AC<BR>\n" );
document.write( "AB/sin(17) = AC/sin(112)<BR>\n" );
document.write( "AC = AB*sin(112)/sin(17) =~ 7.928 miles<BR>\n" );
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document.write( "Altitude = AC*sin(51) =~ 6.163 miles<BR>\n" );
document.write( "= 32532 feet\r<BR>\n" );
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