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To determine the height of the diver above the water surface, you can use the formula for gravitational potential energy:
Gravitational Potential Energy = mass × gravity × height
Rearranging the formula, we can solve for height:
Height = Gravitational Potential Energy / (mass × gravity)
Plugging in the given values:
Height = 2.50 x 10^3 J / (89.0 kg × 9.81 m/s^2)
Calculating this expression:
Height ≈ 2.82 meters
Therefore, the diver is approximately 2.82 meters above the water surface.