document.write( "Question 1026017: Given the numbers in the linked image, how do I find the following; \r
\n" ); document.write( "\n" ); document.write( "A) The value of X to the nearest foot? \r
\n" ); document.write( "\n" ); document.write( "B) The distance from A to C to the nearest foot? \r
\n" ); document.write( "\n" ); document.write( "http://i.imgur.com/vhOCpbN.jpg \r
\n" ); document.write( "\n" ); document.write( "I got all the way to having 2 expressions which equal BC, namely; BC = x/tan55,and BC = x/tan11.2 - 2640, but now I'm confused what to do. \r
\n" ); document.write( "\n" ); document.write( "I've spoken to several people, and they've given me different answers. Which is the correct way? \r
\n" ); document.write( "\n" ); document.write( "1.
\n" ); document.write( "[x / tan(11.2)] - 2640 = x / tan(55)
\n" ); document.write( "[x / tan(11.2)] + [x / tan(55)] = 2640
\n" ); document.write( "x( [1 / tan(11.2)] + [1 / tan(55)] ) = 2640
\n" ); document.write( "x(5.75) = 2640
\n" ); document.write( "x = 2640 / 5.75
\n" ); document.write( "x = 459 ft. \r
\n" ); document.write( "\n" ); document.write( "2.
\n" ); document.write( "(x/tan(55)) = (x/tan(11.2) -2640
\n" ); document.write( "x( 1/ tan(55) - 1/(tan(11.2)) = -2640
\n" ); document.write( "x = -2640 / ( 1 /tan(55)) - (1/tan(11.2)) ) = -2640/-4.350161509 = 606.8740194
\n" ); document.write( "X = 607 feet \r
\n" ); document.write( "\n" ); document.write( "???
\n" ); document.write( "

Algebra.Com's Answer #641272 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
I set it up making y the missing piece of the long leg.
\n" ); document.write( "tan 55=x/y
\n" ); document.write( "tan 11.2=x/(2640+y)
\n" ); document.write( "without rounding, (I will here)
\n" ); document.write( "1.428 y=x
\n" ); document.write( "522.73+0.1980y=x
\n" ); document.write( "Set them equal,
\n" ); document.write( "y=425 feet
\n" ); document.write( "x=607 feet
\n" ); document.write( "a to c is 3065 feet
\n" ); document.write( "
\n" ); document.write( "
\n" );