document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812597>Question 812597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An airplane flies 200 miles from point A in the direction 115° and then travels in the direction 210° for 80 miles. Approximately how far is the airplane from A? (Round your answer 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 #489236 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=489236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use the law of cosines to find the third side of the triangle<BR>\n" );
document.write( "---<BR>\n" );
document.write( "a^2 = b^2 + c^2 - 2bc cos(t)<BR>\n" );
document.write( "where:<BR>\n" );
document.write( "b = 220<BR>\n" );
document.write( "c = 80<BR>\n" );
document.write( "---<BR>\n" );
document.write( "but first find the included angle t<BR>\n" );
document.write( "t = 210 - 115 = 95 degrees<BR>\n" );
document.write( "---<BR>\n" );
document.write( "a^2 = 220^2 + 80^2 - 2*220*80 cos(95)<BR>\n" );
document.write( "a^2 = 48400 + 6400 - 2*220*80*(-0.0871557)<BR>\n" );
document.write( "a^2 = 48400 + 6400 - 2*220*80*(-0.0871557)<BR>\n" );
document.write( "a^2 = 51732.118<BR>\n" );
document.write( "a = 227.45<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "the airplane is about 227.5 miles from its departure point<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, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );