document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044189>Question 1044189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To widen a road, a tree stump needs to be removed. Two backhoes are brought to the site. One backhoe pulls with a force of 2500 N east while the second backhoe pulls with a force of 3000 N northeast. What is the resultant force and its angle with respect to the first backhoe?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660232 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=660232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To widen a road, a tree stump needs to be removed. Two backhoes are brought to the site. One backhoe pulls with a force of 2500 N east while the second backhoe pulls with a force of 3000 N northeast. What is the resultant force and its angle with respect to the first backhoe?<BR>\n" );
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document.write( "The angle between the 2 lines is 22.5 degs<BR>\n" );
document.write( "The resultant is the 3rd side of a triangle with sides of 2500 and 3000, and the included angle = 180 - 22.5 = 157.5 degs<BR>\n" );
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document.write( "r^2 = 2500^2 + 3000^2 - 2*2500*3000*cos(157.5)<BR>\n" );
document.write( "r^2 =~ 29108193<BR>\n" );
document.write( "r=~ 5395.2 N<BR>\n" );
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document.write( "Find the cosine of the angle between the resultant and North:<BR>\n" );
document.write( "3000^2 = r^2 + 2500^2 - 2*2500*r*cos(R)<BR>\n" );
document.write( "cos(R) =~ 0.977<BR>\n" );
document.write( "R = 12.3 degs<BR>\n" );
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