Maybe there's an app for that? Some kind of time lapse app? Or maybe set up a magnifying glass or a crystal ball on a stand and a piece of paper under it. As the sun passes, it will might burn a line on the page. As to how you would read this line, you would need some kind of measurement system - maybe do a baseline the day before and use you watch to record start and finish times.
To measure the hours of light in a day, record the sunrise and sunset times, then subtract the sunrise time from the sunset time. You can also use methods like creating a sundial or observing shadow positions. Repeating this on different days and graphing the results helps observe seasonal changes in light hours.
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