document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168975>Question 168975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of the shadow of a flagpole was found to be 72 feet. The shadow of a 3 foot picket in line which the flagpole was 4 feet. what is the length of the flagpole. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124607 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=124607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help,<BR>\n" );
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document.write( "The length of the shadow of a flagpole was found to be 72 feet. The shadow of a 3 foot picket in line with the flagpole was 4 feet. what is the length of the flagpole<BR>\n" );
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document.write( "This is fairly easy, to solve this we use a proportion<BR>\n" );
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document.write( "The ratio( or fraction) of the length of the flagpole to its shadow is equal to the ratio ( or fraction ) of the length of the picket to its shadow<BR>\n" );
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document.write( "The equation would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28length-of-flagpole%29%2F%28length-of-flagpole-shadow%29+=+%28length-of-picket%29%2F%28length-of-picket-shadow%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "length of shadow of flagpole is 72 feet<BR>\n" );
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document.write( "length of flagpole is unknown( so we will call it \"x\" feet)<BR>\n" );
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document.write( "length of picket shadow is 4 feet<BR>\n" );
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document.write( "length of picket is 3 feet<BR>\n" );
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document.write( "Let us put the numbers in place of the words in the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28length-of-flagpole%29%2F%28length-of-flagpole-shadow%29+=+%28length-of-picket%29%2F%28length-of-picket-shadow%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28length-of-flagpole%29%2F%28length-of-flagpole-shadow%29+=+%28length-of-picket%29%2F%28length-of-picket-shadow%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x-feet%29%2F%2872-feet%29+=+%283+-+feet%29%2F%284-feet%29+ ALIGN=MIDDLE  ALT=\"+%28x-feet%29%2F%2872-feet%29+=+%283+-+feet%29%2F%284-feet%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can get rid of the \"feet\" in the equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F72+=+3%2F4+ ALIGN=MIDDLE  ALT=\"+x%2F72+=+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now we can solve for \"x\", we will use cross multiplication<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F72+=+3%2F4+ ALIGN=MIDDLE  ALT=\"+x%2F72+=+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28x%29%2F72+=+3%2Fhighlight%284%29+ ALIGN=MIDDLE  ALT=\"+highlight%28x%29%2F72+=+3%2Fhighlight%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2Fhighlight%2872%29+=+highlight%283%29%2F4+ ALIGN=MIDDLE  ALT=\"+x%2Fhighlight%2872%29+=+highlight%283%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%29%284%29+=+%2872%29%283%29+ ALIGN=MIDDLE  ALT=\"+%28x%29%284%29+=+%2872%29%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now let us multiply both sides<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x+=+216+ ALIGN=MIDDLE  ALT=\"+4x+=+216+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to find \"x\" we will divide each side by \"4\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x+=+216+ ALIGN=MIDDLE  ALT=\"+4x+=+216+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%2F4+=+216%2F4+ ALIGN=MIDDLE  ALT=\"+4x%2F4+=+216%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+54+ ALIGN=MIDDLE  ALT=\"+x+=+54+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can check by replacing \"x\" with \"54\" in the equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F72+=+3%2F4+ ALIGN=MIDDLE  ALT=\"+x%2F72+=+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+54%2F72+=+3%2F4+ ALIGN=MIDDLE  ALT=\"+54%2F72+=+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can go further by using cross multiplication<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%2854%29%2F72+=+3%2Fhighlight%284%29+ ALIGN=MIDDLE  ALT=\"+highlight%2854%29%2F72+=+3%2Fhighlight%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+54%2Fhighlight%2872%29+=+highlight%283%29%2F4+ ALIGN=MIDDLE  ALT=\"+54%2Fhighlight%2872%29+=+highlight%283%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2854%29%284%29+=+%2872%29%283%29+ ALIGN=MIDDLE  ALT=\"+%2854%29%284%29+=+%2872%29%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > =, multiplying both side, = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+216+=+216+ ALIGN=MIDDLE  ALT=\"+216+=+216+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( True )<BR>\n" );
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document.write( "\"x\" was the length of the flagpole, since \"x\" = 54, the flagpole is equal to 54 feet, don't forget to put the right unit, in this case it is feet<BR>\n" );
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document.write( "Flagpole = 54 feet<BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
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