document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67271>Question 67271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The angle of elevation from a point on level ground to the top of a tower is 32.34.  The angle of elevation of the top of the tower from a point 122 feet further back on the same horizontal line is 22.17.  Find the height of the tower to the nearest tenth of a foot. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47861 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=47861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The angle of elevation from a point on level ground to the top of a tower is 32.34 degrees.  The angle of elevation of the top of the tower from a point 122 feet further back on the same horizontal line is 22.17 degrees.  Find the height of the tower to the nearest tenth of a foot.<BR>\n" );
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document.write( "Draw the picture.<BR>\n" );
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document.write( "tan32.34=h/x ; tan22.17=h/(x+122)<BR>\n" );
document.write( "[tan32.34]x = [tan22.17)(x+122)<BR>\n" );
document.write( "(tan32.34-tan22.17)x = 122[tan22.17)<BR>\n" );
document.write( "0.6232329x=49.7128<BR>\n" );
document.write( "x=79.77 ft.<BR>\n" );
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document.write( "h=x*tan32.34<BR>\n" );
document.write( "h=79.77*tan32.34<BR>\n" );
document.write( "h=50.50 ft. (height of the tower)\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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