It reminds me somewhat of balancing rock in Arches National Park, Utah, but I don't think that's it. It does look like Utah though. Perhaps in Goblin Valley or Capitol Reef National Park?
It actually is called Balancing Rock, if I remember correctly, and it is found in a Western state very close to Utah. Click on next poem for the answer.
Would it be near Wyoming per chance?
Thanks for guessing, Smoky. This is not found in the state of Wyoming, so Wyoming and Utah have now been eliminated. Only 46 more possibilities!