document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43173>Question 43173</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From the top of an office building 72 ft high, the angle of elevation to the apartment building across the street is 31o. From the base of the office building, the elevation is 46o. How tall is the apartment building. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28215 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=28215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From the top of an office building 72 ft high, the angle of elevation to the apartment building across the street is 31o. From the base of the office building, the elevation is 46o. How tall is the apartment building.\r<BR>\n" );
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document.write( "Let a rectangle represent the office building (ob).<BR>\n" );
document.write( "Let the base be \"y\".\r<BR>\n" );
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document.write( "Draw a higher rectangle adjacent on the right to the office building.<BR>\n" );
document.write( "It is the apartment building (ab). Let the distance from the top of <BR>\n" );
document.write( "ob to the top of ab be \"x\" ft.\r<BR>\n" );
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document.write( "From the top left corner of the ob draw a line rising 31 degrees<BR>\n" );
document.write( "to the top of the ab.\r<BR>\n" );
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document.write( "From the bottom left corner of the ob draw a line rising 46 degrees<BR>\n" );
document.write( "to the top of the ab.\r<BR>\n" );
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document.write( "You now have two equations:\r<BR>\n" );
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document.write( "tan(31 degrees) = x/y or y=x/tan(31 degrees)\r<BR>\n" );
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document.write( "tan(46 degrees) = (x+72)/y or y=(x+72)/tan(46 degrees)\r<BR>\n" );
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document.write( "Combining these you get:<BR>\n" );
document.write( "x/tan31 = (x+72)/tan46\r<BR>\n" );
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document.write( "Solve for \"x\":\r<BR>\n" );
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document.write( "x/0.60086 = (x+72)/1.0355<BR>\n" );
document.write( "1.0355x = 0.60086x+43.2619<BR>\n" );
document.write( "0.43464x = 43.2619<BR>\n" );
document.write( "x=99.535 ft.\r<BR>\n" );
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document.write( "Apartment building height is 72 +99.535 ft =171.53 ft\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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document.write( "tan(   </SPAN>\n" );
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