document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=326488>Question 326488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The pilot of a ferry boat wishes to head directly across a river flowing due south, but is faced with a river current of 5 mph downstream. If the pilot is to maintain a speed of 10mph due east,what compass heading should be maintained? What is the actual speed of the ferry boat? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #233756 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=233756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "The current vector is 5 mph due south, and you want to add this to your course and speed vector to obtain the desired vector of 10 mph east.\r<BR>\n" );
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document.write( "The magnitude of the course and speed vector is found with the Pythagorean Theorem.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ s\ =\ \sqrt{5^2\ +\ 10^2}\ =\ 5\sqrt{5}\">\r<BR>\n" );
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document.write( "The course is 90 less the angle whose sine is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{5}{5\sqrt{5}}\ =\ \frac{\sqrt{5}}{5}\">.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 5\sqrt{5}\"> @ <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 90^\circ\ -\ \sin^{-1}\left(\frac{\sqrt{5}}{5}\right)\">\r<BR>\n" );
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document.write( "Is the exact answer.  Use your calculator for appropriate numeric approximations.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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