document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830516>Question 830516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ok got a real life problem. I'm trying to figure out what the distance of an item is. I know that item (A) is 84 inches wide. It appears to be the same size as Item (B) which I know is 2 inches wide. Item (B) is 192 inches away from me. How far away is Item (A)? Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500718 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5347)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=500718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here is the drawing (not to scale, because with such a difference in sizes, if we see the large object at a large distance, we could not really see the small object and the small distance).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C200%2C-2%2C28%2C-7.5%2C7.5%2C%0D%0Aline%280%2C0%2C23%2C7%29%2Cline%280%2C0%2C23%2C-7%29%2Ctriangle%280%2C0%2C23%2C0%2C23%2C7%29%2C%0D%0Arectangle%2823%2C-7%2C23.6%2C7%29%2Crectangle%286.9%2C2.1%2C7.2%2C-2.1%29%2C%0D%0Alocate%28-0.7%2C0.5%2CE%29%2Clocate%286.2%2C1.1%2CB%29%2Clocate%2822.3%2C1.1%2CA%29%2C%0D%0Aarrow%287.9%2C-2.1%2C7.9%2C2.1%29%2Carrow%287.9%2C2.1%2C7.9%2C-2.1%29%2Clocate%288.0%2C0.5%2C%222+inches%22%29%2C%0D%0Aarrow%2824%2C0.7%2C24%2C7%29%2Carrow%2824%2C-0.7%2C24%2C-7%29%2Clocate%2823.8%2C0.5%2C%2284+inches%22%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > E is where your eye is.<BR>\n" );
document.write( "I drew object B right in front of object A, so that B exactly hides A,<BR>\n" );
document.write( "but you could also see that they appear to be the same width if one was a bit over to one side.<BR>\n" );
document.write( "There are 2 similar triangles in the drawing.<BR>\n" );
document.write( "For the smaller triangle, the base is 2 inches (the width of object B) and the height is 192 inches (the distance to object B).<BR>\n" );
document.write( " <BR>\n" );
document.write( "(I could not draw it to scale, because with those measurements the triangle would be too \"skinny\" to see it as a triangle, and object B would look like a dot).<BR>\n" );
document.write( " <BR>\n" );
document.write( "For the larger triangle, the base is 84 inches (the width of object A) and the height is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches (the distance to object A, which we are trying to calculate).<BR>\n" );
document.write( "The larger triangle is a scaled-up version of the smaller one.<BR>\n" );
document.write( "It is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84%2F2=42 ALIGN=MIDDLE  ALT=\"84%2F2=42\"   DISABLED_style= \"max-width:90%; height:auto;\" > times larger.<BR>\n" );
document.write( "The base of the larger triangle (the width of object A) is 42 times larger than the base of the small triangle (the width of object B).<BR>\n" );
document.write( "The height of the larger triangle (the distance to object A) is 42 times larger than the height of the small triangle (the 192-inch distance to object B).<BR>\n" );
document.write( "The distance to object A is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2A%28192inches%29=8064inches=8064%2F12 ALIGN=MIDDLE  ALT=\"42%2A%28192inches%29=8064inches=8064%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=feet=highlight%28672feet%29 ALIGN=MIDDLE  ALT=\"feet=highlight%28672feet%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "NOTE: Math teachers would make a lot of noise about the two triangles being similar, and the angle at E being the same for both triangles, and the lengths of sides being proportional, but you said it was a real life problem, and I tried to get as real as I could. </SPAN>\n" );
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