Robin Hood aims his arrow right at the bullseye of an archer

Robin Hood aims his arrow right at the bull\'s-eye of an archery target that has a diameter of 8 feet. Right as he shoots, he catches the eye of Maid Marian and the distraction changes his shot by 2*. The arrow hits the target right on the edge. How far is Robin Hood from the target?

Solution

robin hood makes an angle of 2 degrees to the point he hit the target

applying tan rule on right angled triangle

tan 2 = radius / d

distance d = radius / tan 2

d = 4 / tan 2

d = 114.545

Robin hood is 114.545 feet from the target