What is the tallest structure that can be built on the Moon? Can it be used as a landing pad?

Earth provides many obstacles to building large structures. Earthquakes and strong winds are just two of them.

As far as I know there are no quakes on the Moon nor are there any winds.

Question

Ignoring meteor strikes, what is the tallest man made structure that could be built on the moon? Could it be taller than any of the mountains? Could it reach out far enough to form a landing pad for orbiting space-craft?

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Assumptions

(a) The structure is not a simple pyramid made of moon rock. It must be much taller than its base is wide – similar to tall buildings on Earth.

(b) There are sufficient building materials and these can be anything that is found on the Earth or the Moon.

(c) The building can perch on top of an existing mountain if that helps.

(d) Firm enough rock foundations can be found to prevent toppling. However there is no Unobtanium to ensure the strength or rigidity of the structure itself.

(e) Ideally the structure is so tall that its top is effectively orbiting the Moon in the direction of the Moon’s spin. In this way it can act as a landing pad for spacecraft.

(f) Possibly it is even taller than in (e). This way the top of the building is being flung away from the Moon and so exerting tension on the building to allow its top to extend beyond orbital height. The landing pad would be lower. A lift would allow relaunch without power from the craft.

(g) There is some unspecified but effective way of protecting against meteor strikes.

(h) Just to be clear. This is a building with foundations on bedrock (as stated above). Thus I want the structure to be built from the ground up and therefore stable at every intermediate stage of its construction. There should be no rocketry or dangling sky-hooks during the building process.