Answer:
A person's weight will be slightly less at the top of a mountain than at the base. This is because the force of gravity is slightly weaker at higher altitudes. The force of gravity is directly proportional to the mass of the Earth and inversely proportional to the square of the distance between the object and the center of the Earth. Since the person is farther away from the center of the Earth at the top of the mountain, the force of gravity is slightly weaker. This means that the person will weigh slightly less.
The amount of weight loss is very small, and it is not something that most people would notice. However, it is a real effect, and it can be measured. In fact, scientists have used this effect to measure the mass of the Earth.