document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466080>Question 466080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the roof of a tower is a square pyramid with side length 10 ft. The height of the pyramid is 6 ft. To the nearest square foot, find the area of the roofing material needed to cover the roof </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319457 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=319457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the roof of a tower is a square pyramid with side length 10 ft. The height of the pyramid is 6 ft. To the nearest square foot, find the area of the roofing material needed to cover the roof.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "For this problem we will be working with two triangles in different planes.<BR>\n" );
document.write( "The pyramid roof is made up of 4 identical triangles. Each triangle has a base=10 ft and a height=perpendicular line drawn from the apex of the pyramid to the base (in the same plane). Let's call this line h.<BR>\n" );
document.write( "Looking from the side in a different plane we can see a right  triangle with legs of 6 ft and 5 ft and a hypotenuse=h.<BR>\n" );
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document.write( "Calculations:<BR>\n" );
document.write( "h=sqrt(6^2+5^2)=&#8730;(36+25)=&#8730;61<BR>\n" );
document.write( "Area of 1 roof triangle=1/2*10*&#8730;61=39.05<BR>\n" );
document.write( "Area of entire roof=39.05*4=156.2 sq ft </SPAN>\n" );
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