document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1111745>Question 1111745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the perpendicular distance between the line y=(5/13)x + 5 and the origin. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #726756 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=726756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First draw this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28500%2C500%2C+-15%2C+3%2C+-3%2C+15%2C+grid%280%29%2C%0D%0A++++++++++++++++++line%28-13%2C0%2C+0%2C5%29%2C%0D%0A++++++++++++++++green%28++line%28-1.7%2C4.3%2C+0%2C+0%29%29%2C%0D%0A+++++++++++++++locate%28-2%2C+3%2C+%22d%22%29%2C%0D%0A+++++++++++++++locate%281%2C3%2C+%225%22%29%2C%0D%0A+++++++++++++++locate%28-0.8%2C4.7%2C+%22a%22%29%2C%0D%0A+++++++++++++++locate%28+-14%2C++-1%2C++%22%28x0%2C+0%29%22+%29%0D%0A%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Truncated y = (5/13)x + 5 to form a triangle with the -x axis and  +y axis. <BR>\n" );
document.write( "d is the distance sought, and is represented by the green line.<BR>\n" );
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document.write( "We know the length of the leg of the triangle that goes along the y-axis is 5  (from y=(5/13)x+5, by inspection the y intercept is 5).  <BR>\n" );
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document.write( "d = 5sin(a)  \r<BR>\n" );
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document.write( "What is a?   To find that we need to find (x0,0) which will tell us the angles of the large triangle.  \r<BR>\n" );
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document.write( "0 = (5/13)x0 + 5  —> x0 = -13   so the length of the triangle along the -x axis is  13.\r<BR>\n" );
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document.write( "The angle a  is therefore  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%5E%28-1%29%2813%2F5%29+=+68.96248897++ ALIGN=MIDDLE  ALT=\"+tan%5E%28-1%29%2813%2F5%29+=+68.96248897++\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees.\r<BR>\n" );
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document.write( "d = 5 sin(68.96248897)  =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%284.666728%29+ ALIGN=MIDDLE  ALT=\"+highlight%284.666728%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > units.\r<BR>\n" );
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document.write( "——————————————<BR>\n" );
document.write( "EDIT 3/10/18 — Thank you tutor KMST for your approach.   I think you may have inadvertently wrote 14.6667 as the answer and carried it throughout(?).   I noticed only because clearly d < 5.      <BR>\n" );
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