Question 1061743
That means, starting at the top and rotating downward, the angle at the top of the flagpole is {{{90-40=50}}}, degrees.  The top of the pole, the spot on ground at bottom of the pole, and the twig form a right triangle.  The angle where the twig is will be  {{{t+50+90=180}}}, meaning {{{t=40}}} degrees.


x, how far between flagpole bottom and the twig:
given flagpole is 6 feet tall,
{{{6/x=tan(40)}}}


{{{x/6=1/tan(40)}}}


{{{highlight(x=6/tan(40))}}}---------compute this with the help either of scientific calculator or trigonometric table.