Kicking a Field Goal In professional football the ball must be placed between the le...

Kicking a Field Goal In professional football the ball must be placed between the left and right hash mark when a field goal is to be kicked. The hash marks are 9.25 ft from the center line of the field. The goal post is 30 ft past the goal line. Suppose that θ is the angle between the lines of sight from the ball to the left and right uprights, as shown in the figure. The larger the value of θ, the easier it is to kick the ball between the uprights. What is the difference (to the nearest thousandth of a degree) between the values of θ at the right hash mark and the value of θ at the center of the field when the ball is 60 ft from the goal line? The two vertical bars on the goal are 18.5 ft apart and the horizontal bar is 10 ft above the ground.