Why 'time' uses the sexagesimal system of counting

Considering how they were clearly already using Pythagorean triples and had some functional trigonometry, I wonder how the sub-divisibility of their system interacts with their practical problem solving.
Say, your main unit of measure isn’t good for breaking down the field and calculating it cleanly, but if you can break down your unit of measure into something more usable, perhaps you can use your 1/12 of a measure as your base unit, or size more simply, you can scale up and back to find something that is calculable. Reminds me of representing different problems in different base numerals to better reflect their logical underpinnings, instead of sticking to decimal.

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