document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199155>Question 1199155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There is a loading dock at Henry's grocery store. Attached to the loading dock, there is a ramp, whose run is 12 feet and whose rise is 39 inches. Henry is wondering whether a long rectangular box can be stored underneath the ramp, if the box is 2 feet tall and 5 feet long. Can the box be stored underneath the ramp? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832878 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=832878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "39 inches = 39/12 = 3.25 ft<BR>\n" );
document.write( "This value 3.25 is the y coordinate of point C shown below.\r<BR>\n" );
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document.write( "Diagram<BR>\n" );
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document.write( "Points:<BR>\n" );
document.write( "A = (0, 0)<BR>\n" );
document.write( "B = (12, 0)<BR>\n" );
document.write( "C = (0, 3.25)<BR>\n" );
document.write( "D = (4.6153846154, 2)<BR>\n" );
document.write( "E = (4.6153846154, 0)<BR>\n" );
document.write( "The decimal values of points D and E are approximate.\r<BR>\n" );
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document.write( "Points B and C make up the ramp.<BR>\n" );
document.write( "The equation of line BC is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.25x%2B12y+=+39 ALIGN=MIDDLE  ALT=\"3.25x%2B12y+=+39\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%2BBy+=+C ALIGN=MIDDLE  ALT=\"Ax%2BBy+=+C\"   DISABLED_style= \"max-width:90%; height:auto;\" > (technically not standard form but somewhat close enough). It has slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-B%2FA ALIGN=MIDDLE  ALT=\"m+=+-B%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Draw a horizontal line through y = 2 which represents the height of the box.<BR>\n" );
document.write( "This horizontal line intersects line BC at the point D(4.6153846154, 2).\r<BR>\n" );
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document.write( "Just below it is E(4.6153846154, 0)<BR>\n" );
document.write( "The horizontal width from A(0,0) to E(4.6153846154, 0) is roughly 4.6153846154 feet.<BR>\n" );
document.write( "This is unfortunately smaller than the 5 ft width of the box Henry wants to store.\r<BR>\n" );
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document.write( "Another approach would be to draw a vertical line through x = 5.<BR>\n" );
document.write( "This vertical line intersects line BC at an (x,y) point such that y < 2, which means there isn't enough height for the box at this x location.\r<BR>\n" );
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document.write( "Answer: No, there isn't enough room.<BR>\n" );
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