document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=308244>Question 308244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two tanks on a training mission are 1,800 m apart on a straight road. The drivers find the angles of elevation to the helicopter hovering over the road between them to be 33° and 52°. Find the height of the helicopter to two significant digits. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #220434 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16949)</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=220434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two tanks on a training mission are 1,800 m apart on a straight road. The drivers find the angles of elevation to the helicopter hovering over the road between them to be 33° and 52°. Find the height of the helicopter to two significant digits.\r<BR>\n" );
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document.write( "Let point from where the angle observed as 33deg be A<BR>\n" );
document.write( "Let point from where the angle observed as 52deg be B<BR>\n" );
document.write( "The point of intersection of the vertical from the helicopter to the ground be C\r<BR>\n" );
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document.write( "AB is given as 1800 meters<BR>\n" );
document.write( "Let BC be x meters\r<BR>\n" );
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document.write( "ABC form a right triangle\r<BR>\n" );
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document.write( "Tan 33 = vertical height / x+1800\r<BR>\n" );
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document.write( "vertical height = tan33 * (x+1800)<BR>\n" );
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document.write( "Tan 52 = vertical height / x<BR>\n" );
document.write( "x*tan 52 = vertical height\r<BR>\n" );
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document.write( "So \r<BR>\n" );
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document.write( "xTan 52 = Tan 33* ( x+1800)<BR>\n" );
document.write( "1.2799x = 0.6494(x+1800)<BR>\n" );
document.write( "1.2799x= 0.6494x +1168.92<BR>\n" );
document.write( "0.6305x= 1168.92<BR>\n" );
document.write( "x= 1854 meters\r<BR>\n" );
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document.write( "1800+1854 = total distance from point A<BR>\n" );
document.write( "=3654 meters\r<BR>\n" );
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document.write( "Tan 33= vertical height / 3654\r<BR>\n" );
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document.write( "vertical distance= 3654*tan33<BR>\n" );
document.write( "= 2372.90 meters\r<BR>\n" );
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document.write( " </SPAN>\n" );
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