document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253576>Question 253576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi :o)<BR>\n" );
document.write( "I hope you guys can help me with this. I think I now understand how to work out a resultant vector using the coordinate system, but this question has stumped me a little. I can't get a picture of it - it seems to be 3D, is that right?<BR>\n" );
document.write( "Please help...\r<BR>\n" );
document.write( "\n" );
document.write( "A mine shaft goes due west 75 m from the opening at an angle of 25° below<BR>\n" );
document.write( "the horizontal surface. It then becomes horizontal and turns 30° north of west<BR>\n" );
document.write( "and continues for another 45 m. What is the displacement of the end of the<BR>\n" );
document.write( "tunnel from the opening.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks SOOOOO much :o) (Happy New Year) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185916 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=185916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A mine shaft goes due west 75 m from the opening at an angle of 25° below<BR>\n" );
document.write( "the horizontal surface. It then becomes horizontal and turns 30° north of west<BR>\n" );
document.write( "and continues for another 45 m. What is the displacement of the end of the<BR>\n" );
document.write( "tunnel from the opening. <BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "If you know how to graph in 3D,<BR>\n" );
document.write( "the start point is (0,0,0)<BR>\n" );
document.write( "the turning point is (-75cos(25), 0 ,-75sin(25))<BR>\n" );
document.write( "the final position is (-75cos(25) ,-45,-75sin(25))<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Distance from start to finish:<BR>\n" );
document.write( "d = sqrt((75cos(25))^2 + (45)^2 + (75sin(25))^2)<BR>\n" );
document.write( "d = sqrt(5526.47+2025+98.53)<BR>\n" );
document.write( "d = 87.46 meters<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );