The potential energy of an object is given by the equation:
PE = mgh
where PE is potential energy, m is mass, g is the acceleration due to gravity, and h is the height.
Rearranging this equation, we get:
h = PE / (mg)
Substituting the given values, we get:
h = 16800 J / (68.0 kg x 9.81 m/s^2)
h = 24.8 meters
Therefore, the cliff-jumper is standing 24.8 meters above the base of the cliff.