document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=482509>Question 482509</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a trough is formed by nailing together, edge to edge, two boards 11 ft. in length, so that the right section is a right triangle. If 15 gal. of water are poured into the trough ad if the trough is held level so that a right section of the water is an isosceles right triangle, how deep is the water? (231 cu. in. = 1 gal.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #330434 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=330434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a trough is formed by nailing together, edge to edge, two boards 11 ft. in length, so that the right section is a right triangle.<BR>\n" );
document.write( " If 15 gal. of water are poured into the trough ad if the trough is held level so that a right section of the water is an isosceles right triangle, how deep is the water? (231 cu. in. = 1 gal.)<BR>\n" );
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document.write( "Find the vol of the water in cu/in<BR>\n" );
document.write( "15 * 231 = 3465 cu/in<BR>\n" );
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document.write( "Change 11 ft:  11*12 = 132 inches<BR>\n" );
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document.write( "Find the triangular area of the end of the trough; 3465/132 = 26.25 sq/inches<BR>\n" );
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document.write( "Let x = width of the trough; A right triangle area = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >x*x = 26.25<BR>\n" );
document.write( "x^2 = 2(26.25)<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2852.5%29 ALIGN=MIDDLE  ALT=\"sqrt%2852.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 7.2457 inches the width of each board<BR>\n" );
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document.write( "Find the width of the trough which is the the hypotenuse<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2+%2B+x%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2+%2B+x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2852.5+%2B+52.5%29 ALIGN=MIDDLE  ALT=\"sqrt%2852.5+%2B+52.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28105%29 ALIGN=MIDDLE  ALT=\"sqrt%28105%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 10.247 inches wide, also the base of the triangle<BR>\n" );
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document.write( "Find the altitude of the triangle, which is the depth of the water; we know it's area<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >*10.247*d = 26.25<BR>\n" );
document.write( "10.247d = 2(26.25)<BR>\n" );
document.write( "10.247d = 52.5<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52.5%2F10.247 ALIGN=MIDDLE  ALT=\"52.5%2F10.247\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 5.12 inches is the depth of the water<BR>\n" );
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document.write( "Check this by finding the vol of water with these measurements<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >*10.247*5.12*132 = 3462.366 cu/inches which is about 15 gal<BR>\n" );
document.write( " </SPAN>\n" );
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