document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196263>Question 1196263</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At point \"A\" due east to a hut, the angle of elevation is 55° and at point \"B\" due it's west the angle of elevation is 45°. The distance from point A to B is 15m. Find height of the hut?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829022 by </B><A HREF=/tutors/aboutme.mpl?userid=amoresroy><B>amoresroy(361)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amoresroy><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=amoresroy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=829022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let h = height of the hut\r<BR>\n" );
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document.write( "Expressing given problem to systems of equations\r<BR>\n" );
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document.write( "(1)  Tan 55 = h/(15-x) = 1.428\r<BR>\n" );
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document.write( "(2)  Tan 45 = h/x = 1 <BR>\n" );
document.write( "          x = h\r<BR>\n" );
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document.write( "Substitute x = h in equation (1)<BR>\n" );
document.write( "h/(15-h) = 1.428<BR>\n" );
document.write( "       h = 1.428(15-h)<BR>\n" );
document.write( "       h = 21.422 - 1.428h<BR>\n" );
document.write( "  2.428h = 21.422<BR>\n" );
document.write( "       h = 8.823 \r<BR>\n" );
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document.write( "Answer<BR>\n" );
document.write( "The height of the hut is 8.823 meters.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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