document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177383>Question 1177383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The line y = x/2 makes an angle w with the positive x-axis. The line y = mx makes an angle 2w with the positive x-axos. Compute m. Should be solved without the use of a calculator.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806336 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The line  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%2F2+ ALIGN=MIDDLE  ALT=\"y+=+x%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > has the slope of  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5 ALIGN=MIDDLE  ALT=\"0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Hence, the angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w ALIGN=MIDDLE  ALT=\"w\"   DISABLED_style= \"max-width:90%; height:auto;\" > is  such that  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28w%29+=+0.5 ALIGN=MIDDLE  ALT=\"tan%28w%29+=+0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  i.e.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+tan%5E-1%280.5%29 ALIGN=MIDDLE  ALT=\"w+=+tan%5E-1%280.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "most important in solving this problem is the fact that the slope is the tangent of the angle \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=tan%282w%29 ALIGN=MIDDLE  ALT=\"m=tan%282w%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%282w%29+=+%282%2Atan%28w%29%29%2F%281-tan%5E2%28w%29%29 ALIGN=MIDDLE  ALT=\"tan%282w%29+=+%282%2Atan%28w%29%29%2F%281-tan%5E2%28w%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%282w%29=+%282%2A0.5%29%2F%281-0.5%5E2%29 ALIGN=MIDDLE  ALT=\"tan%282w%29=+%282%2A0.5%29%2F%281-0.5%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%282w%29+=+1%2F%281-1%2F4%29+ ALIGN=MIDDLE  ALT=\"tan%282w%29+=+1%2F%281-1%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%282w%29+=+1%2F%28%283%2F4%29%29+ ALIGN=MIDDLE  ALT=\"tan%282w%29+=+1%2F%28%283%2F4%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%282w%29=+4%2F3 ALIGN=MIDDLE  ALT=\"tan%282w%29=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thus  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m++=+4%2F3 ALIGN=MIDDLE  ALT=\"m++=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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