document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256426>Question 256426</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with this word problem.  An ant is 120 ft. from an 80 ft. tall tree whose top is the visual line of a 600 ft. tall building.  How far is the tree from the building? Please explain every step. For example where you get numbers.  Thank you so much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188587 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=188587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  An ant is 120 ft. from an 80 ft. tall tree whose top is the visual line of a 600 ft. tall building.<BR>\n" );
document.write( " How far is the tree from the building? Please explain every step.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the angle of sight from the ant to the tree<BR>\n" );
document.write( "Use the tangent of the angle(A): Side opposite (80ft) over Side adjacent (120ft)<BR>\n" );
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document.write( "tan(A) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2F120 ALIGN=MIDDLE  ALT=\"80%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "tan(A) = .6667<BR>\n" );
document.write( "A = 33.69 degrees<BR>\n" );
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document.write( "Use the tan of the same angle to find the dist (d) from the ant to the building<BR>\n" );
document.write( "Side opposite (600) over side adjacent (d)<BR>\n" );
document.write( "tan(33.69) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2Fd ALIGN=MIDDLE  ALT=\"600%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".6667 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F600 ALIGN=MIDDLE  ALT=\"d%2F600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F.667 ALIGN=MIDDLE  ALT=\"600%2F.667\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d =  900 ft from the Ant to the building<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "900 - 120 = 780 ft from the tree to the building<BR>\n" );
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document.write( ":<BR>\n" );
document.write( "After seeing the problem, I read it again and see I made a mistake, I put 600 as the line of sight distance instead of the building height,  Sorry. Obviously your teacher did it a different way.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using a simpler method, ratios of corresponding sides:<BR>\n" );
document.write( "tree height to building height is to ant/tree dist to ant/building dist (x)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2F600 ALIGN=MIDDLE  ALT=\"80%2F600\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2Fx ALIGN=MIDDLE  ALT=\"120%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "80x = 72000<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72000%2F80 ALIGN=MIDDLE  ALT=\"72000%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = ft from ant to building<BR>\n" );
document.write( "then<BR>\n" );
document.write( "900 - 120 = 720 ft from tree to building<BR>\n" );
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document.write( "Hope this helps\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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