document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206728>Question 1206728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having trouble with the following example problem and would appreciate if I could get a walkthrough of how to do it. \r<BR>\n" );
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document.write( "Forces with magnitudes of v = 160 newtons and u = 280 newtons act on a hook. Find the magnitude of the resultant of this force.\r<BR>\n" );
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document.write( "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 #844345 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=844345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "first force, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5B1%5D+=+160N ALIGN=MIDDLE  ALT=\"F%5B1%5D+=+160N\"   DISABLED_style= \"max-width:90%; height:auto;\" > at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45 ALIGN=MIDDLE  ALT=\"45\"   DISABLED_style= \"max-width:90%; height:auto;\" >⁰<BR>\n" );
document.write( "second force, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5B2%5D+=+280N ALIGN=MIDDLE  ALT=\"F%5B2%5D+=+280N\"   DISABLED_style= \"max-width:90%; height:auto;\" > at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >⁰\r<BR>\n" );
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document.write( "The vertical component of the forces is calculated as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5By%5D=160%2Asin%2845%29%2B280%2Asin%280%29 ALIGN=MIDDLE  ALT=\"F%5By%5D=160%2Asin%2845%29%2B280%2Asin%280%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=F%5By%5D=160%2A%281%2Fsqrt%282%29%29%2B280%2A%280%29 ALIGN=MIDDLE  ALT=\"F%5By%5D=160%2A%281%2Fsqrt%282%29%29%2B280%2A%280%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=F%5By%5D=160%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"F%5By%5D=160%2Fsqrt%282%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=F%5By%5D=113.14 ALIGN=MIDDLE  ALT=\"F%5By%5D=113.14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The horizontal component of the forces is calculated as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5Bx%5D=160%2Acos%2845%29%2B280%2Acos%280%29 ALIGN=MIDDLE  ALT=\"F%5Bx%5D=160%2Acos%2845%29%2B280%2Acos%280%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=F%5Bx%5D=160%2A%281%2Fsqrt%282%29%29%2B280%2A%281%29 ALIGN=MIDDLE  ALT=\"F%5Bx%5D=160%2A%281%2Fsqrt%282%29%29%2B280%2A%281%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=F%5Bx%5D=160%2Fsqrt%282%29%2B280 ALIGN=MIDDLE  ALT=\"F%5Bx%5D=160%2Fsqrt%282%29%2B280\"   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=F%5Bx%5D=393.14 ALIGN=MIDDLE  ALT=\"F%5Bx%5D=393.14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The direction of the forces is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=tan%5E-1%28F%5By%5D%2FF%5Bx%5D%29 ALIGN=MIDDLE  ALT=\"theta=tan%5E-1%28F%5By%5D%2FF%5Bx%5D%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=theta=tan%5E-1%28113.14%2F393.14%29 ALIGN=MIDDLE  ALT=\"theta=tan%5E-1%28113.14%2F393.14%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=theta=tan%5E-1%280.28778552169710536%29 ALIGN=MIDDLE  ALT=\"theta=tan%5E-1%280.28778552169710536%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=theta=0.28021352584028169 ALIGN=MIDDLE  ALT=\"theta=0.28021352584028169\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=16.06 ALIGN=MIDDLE  ALT=\"theta=16.06\"   DISABLED_style= \"max-width:90%; height:auto;\" >° \r<BR>\n" );
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document.write( "Magnitude of resultant force:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=sqrt%28113.14%5E2%2B393.14%5E2%29 ALIGN=MIDDLE  ALT=\"R=sqrt%28113.14%5E2%2B393.14%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=R=409.096 ALIGN=MIDDLE  ALT=\"R=409.096\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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