document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205058>Question 1205058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The angles of elevation of the top Hof a vertical pole HO are observed to be e and a from points P and Q due east and due south of the post. If the distance PQ = d, show that the height of the post is:\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841681 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In right triangle POH , cot a = OP/OH\r<BR>\n" );
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document.write( "OH * cot a = OP\r<BR>\n" );
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document.write( "In right triangle QOH , cot b = OQ/OH\r<BR>\n" );
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document.write( "OQ= OH cot b\r<BR>\n" );
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document.write( "In right triangle POQ\r<BR>\n" );
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document.write( "OP^2+OQ^2= PQ^2\r<BR>\n" );
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document.write( "OH^2 * cot^2 a +OH^2cot^2b= PQ^2\r<BR>\n" );
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document.write( "OH^2 ( cot^2 a +cot^2b)=  d^2 (given  PQ=d)<BR>\n" );
document.write( "OH^2= d^2/ ( cot^2 a +cot^2b)\r<BR>\n" );
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