A 45-kg person drinks 420. g of milk, which has a "caloric" value of approximately 3.0 kJ g-1.

A 45-kg person drinks 420. g of milk, which has a "caloric" value of approximately 3.0 kJ g-1. If only 15% of the energy in milk is converted to mechanical work, how high (in meters) can the person climb based on this energy intake? [Hint: The work done in ascending is given by mgh, where m is the mass (in kg), g the gravitational acceleration (9.8 m s-2), and h the height (in meters.)]