Question 1047220
let {{{ a }}} = the distance from the end 
of the rod to the corner of th room
{{{ cos( 30 ) = a/( 4*sqrt(3) ) }}}
{{{ ( sqrt(3)/2 )*( 4*sqrt(3) ) = a }}}
{{{ a = 6 }}}
the distance to the other wall is:
{{{ sqrt( 6^2 - ( 2*sqrt(3) )^2 ) }}}
{{{ sqrt( 36 - 12 ) }}}
{{{ sqrt( 24 ) = 2*sqrt( 6 ) }}}
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check the math