document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201751>Question 1201751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A woman jogs 4.2 km, 10° E of N and then 2.9 km E at the speed of 8 km/h. How much time would she have saved of she jogged directly to her generation ? In what direction should she have headed for this?\r<BR>\n" );
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document.write( "Can you also help me draw the vector direction? Only if its okay with you. Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836258 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A woman jogs 4.2 km, 10° E of N and then 2.9 km E at the speed of 8 km/h. How much time would she have saved of she jogged directly to her generation ?? destination ? In what direction should she have headed for this?<BR>\n" );
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document.write( "10° E of N is a heading of 010 degs, an angle of 80 degs with the x-axis.<BR>\n" );
document.write( "East is heading of 090, parallel to the x-axis.<BR>\n" );
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document.write( "Using Vectors:<BR>\n" );
document.write( "Label the points O, A and B in order.<BR>\n" );
document.write( "Vector OA is 4.2 km at 080.<BR>\n" );
document.write( "The x-component is 4.2*cos(80) = ~0.729 km<BR>\n" );
document.write( "The y-comp is 4.2*sin(80) = ~4.14 km<BR>\n" );
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document.write( "For AB:<BR>\n" );
document.write( "The x-comp is 2.9<BR>\n" );
document.write( "The y-comp is 0 (zero).<BR>\n" );
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document.write( "Add the x and y comps:<BR>\n" );
document.write( "x = 0.729 + 2.9 = 3.629<BR>\n" );
document.write( "y = 4.14<BR>\n" );
document.write( "---> point B is (3.629,4.14)<BR>\n" );
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document.write( "The distance OB = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2+%2B+y%5E2%29+=+sqrt%283.629%5E2+%2B+4.14%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2+%2B+y%5E2%29+=+sqrt%283.629%5E2+%2B+4.14%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = ~5.5 km<BR>\n" );
document.write( "The time difference in hours is 7.1/8 - 5.5/8<BR>\n" );
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document.write( "Can you also help me draw the vector direction? Only if its okay with you. Thank you<BR>\n" );
document.write( "The \"vector directions\" are above, 80 degs and 0 degs wrt the x-axis.<BR>\n" );
document.write( "The angle of OB wrt the x-axis = atan(y/x) = atan(4.14/3.629) = ~48.8 degs wrt the x-axis ---> a heading of 41.2 degs </SPAN>\n" );
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