document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206710>Question 206710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problem.\r<BR>\n" );
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document.write( "By holding a ruler 3 feet in front of her eyes as illustrated in the diagram, Carla sees that the top and bottom points of a vertical cliff face line up with marks separated by 4\" on the ruler. According to the map, Carla is about a half mile from the cliff. What is the approximate height of the cliff rounded to the nearest foot? Recall that a mile is 5280 feet.\r<BR>\n" );
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document.write( "(I dont know if this problem is solvable without the pictue, but it is basically Carla viewing the mountain from a particulat distance) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156253 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=156253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the properties of similar triangles. The triangle formed by her arm, the ruler and the hypotenuse AND the triangle formed by 1/2 mile, the cliff and that hypotenuse are similar.\r<BR>\n" );
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document.write( "So<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=armLength%2FhalfMile+=+4inch%2FcliffHeight ALIGN=MIDDLE  ALT=\"armLength%2FhalfMile+=+4inch%2FcliffHeight\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "convert everything to feet<BR>\n" );
document.write( "halfMile = 5280/2 = 2640<BR>\n" );
document.write( "4inches = 1/3 foot<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2640+=+%281%2F3%29%2FCliff ALIGN=MIDDLE  ALT=\"3%2F2640+=+%281%2F3%29%2FCliff\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Cliff+=+%281%2F3%29%2A2640%2F3 ALIGN=MIDDLE  ALT=\"Cliff+=+%281%2F3%29%2A2640%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Cliff+=+293+feet ALIGN=MIDDLE  ALT=\"Cliff+=+293+feet\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that this is a very rough estimate. No way Carla has a three foot arm. No way even the littlest error in the 4inches doesnt translate to a huge error on the size of the cliff. But, is better than a wild guess </SPAN>\n" );
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