They just cut them down in segments using a bucket truck to bring down the segments one at a time or use rope rigging and pulleys to lower them by friction hitch device.

“Tree rigging” is the term to search for. It’s generally less annoying to remove a century plant than a tree because there isn’t a huge stump or root system to deal with, and once they die they start to dehydrate and lose weight rapidly. The trick is to do it before they start falling over.