Check this page, horizon,
https://en.wikipedia.org/wiki/Horizon.
This is the place where the sun set.
- For an observer standing on the ground with h = 1.70 metres (5 ft 7 in), the horizon is at a distance of 4.7 kilometres (2.9 mi).
- For an observer standing on the ground with h = 2 metres (6 ft 7 in), the horizon is at a distance of 5 kilometres (3.1 mi).
- For an observer standing on a hill or tower of 100 metres (330 ft) in height, the horizon is at a distance of 36 kilometres (22 mi).
- For an observer standing at the top of the Burj Khalifa (828 metres (2,717 ft) in height), the horizon is at a distance of 103 kilometres (64 mi).
Then what we need is take the distance between 64mi - 5mi, 59mi.
https://www.scientificamerican.com/article/...-the-earth-mov/
From the page, we know that the speed of earth self rotation is about 1000mi per hour
60/1000 = 0.06hr = 3.6min
Math Challenge -- Flat Earth Debunk