document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80533>Question 80533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A wooden board is placed so that it leans against a loading dock to provide a ramp.\r<BR>\n" );
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document.write( "The board is supported by a metal beam perpendicular to the ramp and placed on a 1 ft. tall support. \r<BR>\n" );
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document.write( "The bottom of the support is 7 feet from the point where the ramp meets the ground. The slope of the ramp is 2/5. \r<BR>\n" );
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document.write( "Find the length of the beam to the nearest hundredth of a foot. Note that the 1 ft. support is vertical, but the metal beam is not.<BR>\n" );
document.write( "Could you also show how you got this answer?THx<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57806 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=57806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A wooden board is placed so that it leans against a loading dock to provide a ramp.\r<BR>\n" );
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document.write( "The board is supported by a metal beam perpendicular to the ramp and placed on a 1 ft. tall support. \r<BR>\n" );
document.write( "\n" );
document.write( "The bottom of the support is 7 feet from the point where the ramp meets the ground. The slope of the ramp is 2/5. \r<BR>\n" );
document.write( "\n" );
document.write( "Find the length of the beam to the nearest hundredth of a foot. Note that the 1 ft. support is vertical, but the metal beam is not.<BR>\n" );
document.write( "Could you also show how you got this answer?THx<BR>\n" );
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document.write( "Draw a coordinate system<BR>\n" );
document.write( "Put the 1 ft. post on the y-axis with its base at the origin.<BR>\n" );
document.write( "The ramp is a line segment from (0,7) toward the y-axis with<BR>\n" );
document.write( "a slope of -2/5<BR>\n" );
document.write( "The top of the post is at (0,1).<BR>\n" );
document.write( "Draw a line segment from (0,1) perpendicular to the ramp.<BR>\n" );
document.write( "You need to find that point of intersection of the ramp<BR>\n" );
document.write( "and the post.<BR>\n" );
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document.write( "Ramp equation:<BR>\n" );
document.write( "slope = -2/5 and the line passes thru (7,0)<BR>\n" );
document.write( "EQUATIon of the ramp: y=(-2/5)x+14/5<BR>\n" );
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document.write( "Equation of line perpendicular to the ramp:<BR>\n" );
document.write( "slope = 5/2 and the line passes thru (0,1)<BR>\n" );
document.write( "EQUATION of that line: y=(5/2)x+1<BR>\n" );
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document.write( "Find the intersection of these two equations:<BR>\n" );
document.write( "(-2/5)x+14/5 = (5/2)x+1<BR>\n" );
document.write( "(-2/5-5/2)x=1-14/5<BR>\n" );
document.write( "-29/10 x = -18/10<BR>\n" );
document.write( "x=18/29<BR>\n" );
document.write( "Now, solve for y:<BR>\n" );
document.write( "y=(5/2)(18/29)+1<BR>\n" );
document.write( "y = 45/29+29/29= 74/29<BR>\n" );
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document.write( "Find the distance from (0,1) to (18/29,74/29)<BR>\n" );
document.write( "d=sqrt[(18/29-0)^2 + (74/29-1)^2]<BR>\n" );
document.write( "d=sqrt2.7931...<BR>\n" );
document.write( "d=1.671258... ft.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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