document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155516>Question 155516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a solution of 3.1875 meters for this problem but it is in error.  (I calculated height/distance from lamppost to the man as 8/15; calculated height/distance from man to end of shadow as 1.7/x).  I appreciate your help!\r<BR>\n" );
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document.write( "A man is walking away from a lamppost with a light source 8 meters above the ground.  The man is 1.7 meters tall.  How long is the man's shadow when he is 15 meters from the lamppost?\r<BR>\n" );
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document.write( "Thanks, Linda </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114537 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=114537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man is walking away from a lamppost with a light source 8 meters above the ground. The man is 1.7 meters tall. How long is the man's shadow when he is 15 meters from the lamppost? <BR>\n" );
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document.write( "Draw the picture.<BR>\n" );
document.write( "The lamppost is the height of the larger triangle;<BR>\n" );
document.write( "The man is height of the smaller SIMILAR triangle.<BR>\n" );
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document.write( "Let the base of the larger triangle be x.<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "8 meters/ 1.7 meters = x/x-15\r<BR>\n" );
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document.write( "8(x-15) = 1.7x<BR>\n" );
document.write( "8x - 120 = 1.7x<BR>\n" );
document.write( "6.3x = 120<BR>\n" );
document.write( "x = 19.048<BR>\n" );
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document.write( "Man's shadow = 19.048-15 = 4.048 meters<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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