document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698344>Question 698344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the original height of a tree before it fell if it forms a 30-60-90 triangle with a leg length of 97 inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430776 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">Since we are given that it is a 30-60-90 right triangle, this should be a quick problem!<br>\r<BR>\n" );
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document.write( "In any given 30-60-90 right triangle, we have a certain relationship between the legs.<br>\r<BR>\n" );
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document.write( "One relationship, is that the hypotenuse is always equal to 2 times the shortest leg.<br>\r<BR>\n" );
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document.write( "Also, we know that the longer leg is always equal to the shorter leg times the square root of 3.<br>\r<BR>\n" );
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document.write( "So, since we know the short leg is 97 inches (because it is NOT the height),<br>\r<BR>\n" );
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document.write( "then we know that the height of the tree is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=97%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"97%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches,<br>\r<BR>\n" );
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document.write( "which is about 168 inches almost exactly.<br>\r<BR>\n" );
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document.write( "I hope this helps!  Keep practicing!  :)<br>\r<BR>\n" );
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