document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935033>Question 935033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the wind is at 14 mph out of the east, how fast can a sailboat travel in a southwest direction? ( mph )<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568128 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=568128\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the real answer is very complicated, but if we assume that the sailboat is 100% efficient (no water drag, no air drag, and the sail is 100% efficient):<BR>\n" );
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document.write( "make an isoceles right triangle to model the wind acting on the sail:<BR>\n" );
document.write( "hypotenuse \"c\" = 14 mph<BR>\n" );
document.write( "angle opposite \"c\" = C = 90 degrees<BR>\n" );
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document.write( "angle A = angle B = 45 degrees<BR>\n" );
document.write( "find side \"a\" opposite to angle A:<BR>\n" );
document.write( "note that side \"a\" and side \"b\" have the same length ...<BR>\n" );
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document.write( "use the law of sines:<BR>\n" );
document.write( "a/sinA = c/sinC<BR>\n" );
document.write( "a = sinA * c/sinC<BR>\n" );
document.write( "a = sin(45) * 14/sin(90)<BR>\n" );
document.write( "a = 9.9<BR>\n" );
document.write( "b = 9.9<BR>\n" );
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document.write( "answer:<BR>\n" );
document.write( "a = 9.9 mph<BR>\n" );
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