Step 1:

The weight of the athletic is .

The athletic climbs a vertical distance is .

The time taken for clibing a vertical distance is .

The work done of climbing rope is .

Substitute , and in .

.

Step 2:

Find the minimum power output was used to accomplish the feat.

.

Substitute and in .

The minimum power output was used to accomplish the feat is .

Solution:

The minimum power output was used to accomplish the feat is .