Suppose a golfer hits a ball with a velocity \( \mathrm{v} \mathrm{ms}^{-1} \) at an angle of \( \theta \) to the horizontal. The golf ball is hit in the direction of a h m tree which is 80 m from the golfer. If \( v=45 \mathrm{~ms}^{-1} \) and \( \theta=20^{\circ} \) , for what value of h will the ball just pass over the tree?

A 11.58 m

B 13.37 m

C 12.57 m