document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129993>Question 1129993</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The tallest tree in the United States is a coast redwood into Jedidah Smith state park in California. It is 321 feet tall. Suppose you are 5’8” tall and Cast a Shadow that is 2 feet at a certain time of day. About how long is the tree shadow at the same time a day (convert 5’8” to feet) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746637 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=746637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "Let's convert the person's height to feet only<BR>\n" );
document.write( "5 feet, 8 inches = 5 feet + 8 inches<BR>\n" );
document.write( "5 feet, 8 inches = 5 feet + (8 inches)*(1 foot/12 inches)<BR>\n" );
document.write( "5 feet, 8 inches = 5 feet + (8/12) feet<BR>\n" );
document.write( "5 feet, 8 inches = 5 feet + (2/3) feet<BR>\n" );
document.write( "5 feet, 8 inches = (5 + (2/3)) feet<BR>\n" );
document.write( "5 feet, 8 inches = ((15/3) + (2/3)) feet<BR>\n" );
document.write( "5 feet, 8 inches = ((15+2)/3) feet<BR>\n" );
document.write( "5 feet, 8 inches = (17/3) feet (this is exact)<BR>\n" );
document.write( "5 feet, 8 inches = 5.667 feet (this is approximate)\r<BR>\n" );
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document.write( "Using the exact measurement, we can set up a proportion<BR>\n" );
document.write( "A/B = C/D<BR>\n" );
document.write( "where<BR>\n" );
document.write( "A = height of person<BR>\n" );
document.write( "B = length of shadow of person<BR>\n" );
document.write( "C = height of tree<BR>\n" );
document.write( "D = length of shadow of tree\r<BR>\n" );
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document.write( "So we have<BR>\n" );
document.write( "A = 17/3<BR>\n" );
document.write( "B = 2<BR>\n" );
document.write( "C = 321<BR>\n" );
document.write( "D = x\r<BR>\n" );
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document.write( "which means...<BR>\n" );
document.write( "A/B = C/D<BR>\n" );
document.write( "(17/3)/2 = 321/x<BR>\n" );
document.write( "(17/3)*x = 2*321  cross multiply<BR>\n" );
document.write( "(17/3)*x = 642<BR>\n" );
document.write( "(3/17)*(17/3)*x = (3/17)*642<BR>\n" );
document.write( "x = 1926/17 exact length of the tree's shadow (as an improper fraction)<BR>\n" );
document.write( "x = 113.2941 the approximate length of the tree's shadow\r<BR>\n" );
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document.write( "Answer: roughly <b><font color=red size=4>113.2941 feet</font></b><BR>\n" );
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