document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194967>Question 194967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a word problem.<BR>\n" );
document.write( "On a bright sunny day, two men are standing in an open plaza.  The shorter man is wearing a hat that makes him appear to be the same height as the other man, who is not wearing a hat.  The hat is made so that the top of it is 4 inches above the top of the wearer's head.  When the shorter man takes off his hat, he casts a 51 inch shadow while the taller man casts a 54 inch shadow.  How tall is each man?<BR>\n" );
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 #146383 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=146383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> On a bright sunny day, two men are standing in an open plaza. The shorter man is wearing a hat that makes him appear to be the same height as the other man, who is not wearing a hat. The hat is made so that the top of it is 4 inches above the top of the wearer's head. When the shorter man takes off his hat, he casts a 51 inch shadow while the taller man casts a 54 inch shadow. How tall is each man?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = the height of the man without the hat<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x-4) = height of man with the hat <BR>\n" );
document.write( ":<BR>\n" );
document.write( "The triangles formed by the shadows and the men are similar (same angle to the sun)<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-4%29%29%2F51 ALIGN=MIDDLE  ALT=\"%28%28x-4%29%29%2F51\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F54 ALIGN=MIDDLE  ALT=\"x%2F54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "54(x-4) = 51x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "54x - 216 = 51x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "54x - 51x = 216<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3x = 216<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=216%2F3 ALIGN=MIDDLE  ALT=\"216%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 72 inches, height of the hat-less man<BR>\n" );
document.write( "then<BR>\n" );
document.write( "68 inches is the height of the man with the hat </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );