Your answer is correct! As a person climbs a hill, their potential energy increases. The potential energy is the energy that an object possesses due to its position or its state. In this case, as the person climbs higher up the hill, they are increasing their position relative to the ground, which in turn increases their potential energy. So, you can explain it as: "As a person climbs a hill, they gain potential energy due to an increase in their height above the ground."