document.write( "Question 91489: A cable to the top of a tower makes an angle of 35 deg with the lower ground. At a point 100 yards closer to he tower the angle of elevation to the top of the tower is 59 deg. Estimate the length of the cable. \n" ); document.write( "
Algebra.Com's Answer #66439 by stanbon(75887)\"\" \"About 
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Draw the picture; this is important.
\n" ); document.write( "Let the height of the tower be \"h\".
\n" ); document.write( "Let the unknows segment of the base be \"x\"
\n" ); document.write( "-----------------
\n" ); document.write( "h = tan(35)(100+x)
\n" ); document.write( "h = xtan(59)
\n" ); document.write( "------------
\n" ); document.write( "xtan(59) = 100tan35 + xtan(35)
\n" ); document.write( "x = 100tan(35)/(tan59 -tan35)
\n" ); document.write( "x = 100tan35/1.619...
\n" ); document.write( "x = 43.246...
\n" ); document.write( "--------------
\n" ); document.write( "Then h = 43.246...*tan59 = 71.9735
\n" ); document.write( "-----------------
\n" ); document.write( "Then using Pytagoras.
\n" ); document.write( "catble^2 = h^2 + base^2
\n" ); document.write( "cable^2 = 71.9735...^2 + (143.246...)^2
\n" ); document.write( "cable = sqrt(25699.60304
\n" ); document.write( "cable = 160.31 ft
\n" ); document.write( "===============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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