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 #829020 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=829020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw the described situation.<BR>\n" );
document.write( "T, point at tip of the hut.\r<BR>\n" );
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document.write( "Understand, a point is directly under T and is on segment BA.<BR>\n" );
document.write( "Triangle BTA;<BR>\n" );
document.write( "Interior angle at B is 45 degrees and interior angle at A is 55 degrees.<BR>\n" );
document.write( "x, the length from B to the point on the segment, underneath T.<BR>\n" );
document.write( "15-x, the length from A to the point on the segment, underneath T.\r<BR>\n" );
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document.write( "How high the tip of the the hunt,  y.\r<BR>\n" );
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document.write( "Check the triangle part with the 45 elevation angle.  That part is special 45-45-90 triangle.  this mean,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x ALIGN=MIDDLE  ALT=\"y=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2Fx=1=tan%2845%29%2Cy%2F%2815-y%29=tan%2855%29%29 ALIGN=MIDDLE  ALT=\"system%28x%2Fx=1=tan%2845%29%2Cy%2F%2815-y%29=tan%2855%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Just solving the second equation,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2815%2Atan%2855%29%29%2F%281%2Btan%2855%29%29 ALIGN=MIDDLE  ALT=\"y=%2815%2Atan%2855%29%29%2F%281%2Btan%2855%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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