document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1009944>Question 1009944</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The relationship between the cone's vertex angle, theta, and the mach number, m, of an aircraft that is flying faster than the speed of sound is given by the formula - sin (theta)/2 = 1/m. If m=5/4, determine the angle theta. \r<BR>\n" );
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document.write( "Is this a half angle formula question? The answer is 106 degrees </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626380 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=626380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If sin(theta)/2 = 1/m, we can plug in for m and get<BR>\n" );
document.write( "sin(theta)/2 = 1/(5/4) = 4/5 = .8<BR>\n" );
document.write( "Now take the inverse sin of both sides and get<BR>\n" );
document.write( "(theta)/2 = sin^(-1) .8 = 53.1 and <BR>\n" );
document.write( "theta = 106.2 degrees<BR>\n" );
document.write( "Not really a half-angle formula question, that is, it does not involve that identity... </SPAN>\n" );
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