Given:
Mass of person (m) = 50 kg
Height of tower (h) = 72 meters
Acceleration due to gravity (g) = 9.8 m/s²

To find:
Work done by the person while climbing the tower

Solution:
1. Work
Work is defined as the transfer of energy that occurs when a force is applied to an object and the object is displaced in the direction of the force. The general formula for work is given by:

Work (W) = Force (F) × Distance (d) × cos(θ)

Where:
- Force (F) is the component of force in the direction of displacement.
- Distance (d) is the magnitude of displacement.
- θ is the angle between the force and displacement vectors.

2. Calculation of Work Done
In this case, the person is climbing the tower against the force of gravity. The work done can be calculated as the product of the force exerted and the distance climbed.

Work (W) = Force × Distance

The force exerted by the person while climbing is equal to the weight of the person, which is given by:

Force = Mass × Acceleration due to gravity
= m × g

Distance climbed is the height of the tower, given as 72 meters.

Substituting the values into the formula:

Work (W) = (m × g) × h

3. Substituting the given values
Mass (m) = 50 kg
Acceleration due to gravity (g) = 9.8 m/s²
Height (h) = 72 meters

Work (W) = (50 kg × 9.8 m/s²) × 72 meters

4. Calculating the work done
Let's calculate the work done using the given values:

Work (W) = 50 kg × 9.8 m/s² × 72 meters
= 35280 Joules

Therefore, the work done by the person while climbing the tower is 35280 Joules.