document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=402881>Question 402881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this word problem...\r<BR>\n" );
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document.write( "A pendulum in a grandfather clock is 4 feet long and swings back and forth along a 6-inch arc. Approximate the angle in degrees through which the pendulum passes during one swing.\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 #284976 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=284976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The formula for the length of the arc 's' given a radius 'r' and and angle 'x' is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=rx ALIGN=MIDDLE  ALT=\"s=rx\"   DISABLED_style= \"max-width:90%; height:auto;\" > Note: x is in radians\r<BR>\n" );
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document.write( "In your case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=6%2F12=1%2F2 ALIGN=MIDDLE  ALT=\"s=6%2F12=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (I'm converting to feet) since it moves along a path that's half a foot long. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=1%2F2 ALIGN=MIDDLE  ALT=\"s=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also, we're given that the pendulum is 4 ft long. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=4 ALIGN=MIDDLE  ALT=\"r=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Plug all of this into the formula above to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2=4x ALIGN=MIDDLE  ALT=\"1%2F2=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for x to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F8 ALIGN=MIDDLE  ALT=\"x=1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a radian. Now convert this to degrees to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F8%29%28180%2Fpi%29=7.1619724391353 ALIGN=MIDDLE  ALT=\"%281%2F8%29%28180%2Fpi%29=7.1619724391353\"   DISABLED_style= \"max-width:90%; height:auto;\" > (which is approximate)\r<BR>\n" );
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document.write( "So the angle in degrees is about 7.16 degrees </SPAN>\n" );
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