During a baseball game the ball is hit at home base 1 meter above ground level with a bat. After having traveled a horizontal distance of 30 m, it is 20 m above ground level. An outfielder runs to meet the ball and catches it as he dives, just 10 cm from the ground. The outfielder is 80 m away from home base when he catches the ball. Assuming the path of the ball is approximately parabolic, what is the greatest height the ball reaches?

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