document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=934731>Question 934731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An airplanes flies from city A to city B, a distance of 150 miles, and then turns through an angle of 30 degrees and heads towards city C. If the distance between A and C is 360 miles, how far is it from city B to C? Through what angle should the pilot turn at city C to return to city A? The distance from city B to C is approx.? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #567775 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=567775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> turning angle of 30 degrees = included angle of (180 - 30) = 150 degrees<BR>\n" );
document.write( "---<BR>\n" );
document.write( "law of sines:<BR>\n" );
document.write( "sin( C degrees )/150 miles = sin( 150 degrees )/360 miles<BR>\n" );
document.write( "sin( C degrees ) = 150 miles * sin( 150 degrees )/360 miles<BR>\n" );
document.write( "sin( C degrees ) = 150 miles * 0.5/360 miles<BR>\n" );
document.write( "sin( C degrees ) = 150 * 0.5/360 <BR>\n" );
document.write( "sin( C degrees ) = 0.208333333333<BR>\n" );
document.write( "C = inverse-sin( 0.208333333333 )<BR>\n" );
document.write( "C = 12.0247 degrees<BR>\n" );
document.write( "---<BR>\n" );
document.write( "internal angles add to 180 degrees:<BR>\n" );
document.write( "30 + 12.0247 + A = 180<BR>\n" );
document.write( "A = 180 - (30 + 12.0247)<BR>\n" );
document.write( "A = 137.9753 degrees<BR>\n" );
document.write( "---<BR>\n" );
document.write( "law of sines:<BR>\n" );
document.write( "sin( A degrees )/a = sin( 150 degrees )/360 miles<BR>\n" );
document.write( "sin( 137.9753 degrees )/a = sin( 150 degrees )/360 miles<BR>\n" );
document.write( "a = sin( 137.9753 degrees ) * 360 miles / sin( 150 degrees )<BR>\n" );
document.write( "a = sin( 137.9753 ) * 360 miles / sin( 150 )<BR>\n" );
document.write( "a = 482.005 miles<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "angle pilot turns at city C to return to city A is approximately = 12 degrees<BR>\n" );
document.write( "distance from city B to C is approximately = 482 miles<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Free algebra tutoring live chat:<BR>\n" );
document.write( "https://sooeet.com/chat.php?gn=algebra<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations with quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );