Question

A field goal post in football is 3.33 yards above the ground. If a football player kicks the ball at a 10° angle in a straight line toward the goal post, what is the distance away, in yards, where the ball barely goes over the goal post?

Answer 1

18.9

Explanation:

Answer 2

in order to solve the given problem, use the tangent identity.
tan A = o / a
where a is the angle the football player kicks the ball
o is the height of the goal post
a is the distance of the ball from the yard

from the formula
a = o / tan A
a = 3.33 / tan 10
a = 18.89 yards