This is not homework, it's simply something I made up in order to receive answers that will clarify my understanding of how to solve these types of problems myself.
We need the height of the tower. The facts we have:
The circumference of the tower at the bottom level is 300 kilometers. The circumference of the tower reduces gradually as height increases, so that it's like a cone. It can be climbed by walking on a slope that circles around the entire tower from the bottom to the top. If it takes an average man 3500 hours to climb to the top, how high is the tower and at what degree is the slope and so on -- assuming 5 km/h walking speed on LEVEL GROUND.
Any ideas on how one might solve such a problem? Is everything that we need in place? Is more information needed, if so, what information?