document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86095>Question 86095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagram above (not to scale) shows how an elementary student<BR>\n" );
document.write( "who is 4 feet tall estimates the height of a lamppost. The student<BR>\n" );
document.write( "stands 30 feet from the base of the lamppost and measures her<BR>\n" );
document.write( "shadow from the light as 6 feet long. Approximately how high is<BR>\n" );
document.write( "the lamppost?<BR>\n" );
document.write( "A. 20 feet<BR>\n" );
document.write( "B. 24 feet<BR>\n" );
document.write( "C. 36 feet<BR>\n" );
document.write( "D. 45 feet </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62208 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=62208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the unknown side, we can use proportions to find the missing side.\r<BR>\n" );
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document.write( "Since we have 2 similar triangles, the ratio of the sides of the triangles are the same. Since the ratio of the sides of the small triangle are the same, this ratio is true:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6=x%2F%2830%2B6%29 ALIGN=MIDDLE  ALT=\"4%2F6=x%2F%2830%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6=x%2F36 ALIGN=MIDDLE  ALT=\"4%2F6=x%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This basically says: \"the ratio of the side with length of 4 to the side of length 6 is equal to the ratio of side x to side 36 (notice the sides of the triangles correspond to one another)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%284%2F6%29=%28x%2Fcross%2836%29%29cross%2836%29 ALIGN=MIDDLE  ALT=\"36%284%2F6%29=%28x%2Fcross%2836%29%29cross%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 36\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2F6=x ALIGN=MIDDLE  ALT=\"144%2F6=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24=x ALIGN=MIDDLE  ALT=\"24=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the length of the unknown side is 24, which means the lamppost is 24 feet high\r<BR>\n" );
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document.write( "So the answer is B) </SPAN>\n" );
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