A ball is hit at ground level. The ball reaches its maximum height above ground level 3.1 s after being hit. Then 2.0s after reaching its maximum height, the ball barely clears a fence that is 139 m from where it was hit. How high is the fence? (Your result must be in units of meters and include one digit after the decimal point. Maximum of 5% of error is accepted in your answer. Take g=9.80 m/s2.)