It is unlikely that a cat would survive a fall from a 20th story building. Cats are able to survive falls from shorter distances by using their flexible bodies to adjust their position in the air and land safely. However, a fall from such a great height would likely result in serious injury or death.
While cats have been known to fall from over 30 stories and survive, it's not very common or thoroughly researched. That being said, studies suggest cats can fall as far as 20 stories, over 200 feet, and survive with little to no injuries.
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