document.write( "Question 937463: One observer estimates the angle of elevation to the basket of a hot air balloon to be 55°, while another observer 100 yards away estimates the angle of elevation to be 36°. How high off the ground is the basket of the hot air balloon? Round to the nearest whole number. \n" ); document.write( "

Algebra.Com's Answer #570826 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
tan 55 = h/x\r
\n" ); document.write( "\n" ); document.write( "x= h/tan 55.................(1)\r
\n" ); document.write( "\n" ); document.write( "tan 36 = h/(100+x)
\n" ); document.write( "100tan 36 + x tan36 =h\r
\n" ); document.write( "\n" ); document.write( "x tan 36 =(h-100 tan 36)\r
\n" ); document.write( "\n" ); document.write( "x= (h-100 tan 36)/tan 36............(2)\r
\n" ); document.write( "\n" ); document.write( "equate (1) & (2)\r
\n" ); document.write( "\n" ); document.write( "(h-100 tan 36)/tan 36=h/tan 55\r
\n" ); document.write( "\n" ); document.write( "Simplify\r
\n" ); document.write( "\n" ); document.write( "h-100 tan 36 = h tan 36/tan 55\r
\n" ); document.write( "\n" ); document.write( "h- htan 36 /tan 55 = 100 tan 36\r
\n" ); document.write( "\n" ); document.write( "h-0.5h = 72.6\r
\n" ); document.write( "\n" ); document.write( "0.5h= 72.6\r
\n" ); document.write( "\n" ); document.write( "h = 145.3 feet\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );