document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091486>Question 1091486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 40° and 170°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.\r<BR>\n" );
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document.write( "Please show work so i can understand!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #705918 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=705918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sin(40) = vertical component / 150<BR>\n" );
document.write( "vertical component = sin(40) * 150 = 96.4181 = 96.42<BR>\n" );
document.write( "cos(40) = horizontal component / 150<BR>\n" );
document.write( "horizontal component = cos(40) * 150 = 114.9066 = 114.91<BR>\n" );
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document.write( "sin(170) = vertical component / 100 <BR>\n" );
document.write( "vertical component = sin(170) * 100 = 17.3648 = 17.36<BR>\n" );
document.write( "cos(170) = horizontal component / 100<BR>\n" );
document.write( "horizontal component = cos(170) * 100 = &#8722;98.4807 = &#8722;98.48<BR>\n" );
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document.write( "summing the horizontal components = 114.91 -98.48 = 16.43<BR>\n" );
document.write( "summing the vertical components = 96.42 + 17.36 = 113.78<BR>\n" );
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document.write( "the magnitude of the resultant vector = square root(16.43^2 + 113.78^2) = 114.96<BR>\n" );
document.write( "the direction of the resultant vector = tan^(-1) (113.78 / 16.43) = 81.78 degrees<BR>\n" );
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