A team of people in South America stands at points along the equator at an equal distance from each other (measured from the center of the earth). Due to the mountainous terrain, each of them stands at different heights. Our goal is to determine their elevation using a watch.
At the vernal equinox, when the sun rises east, each person waits carefully and writes down (with impressive accuracy and accuracy) the exact time GMT, which at first glance the sun was visible. For some, this is the time when it appeared on the beautiful South Atlantic horizon. For others, it was a time when he peered through a mountain range.
Given the list of tuples connecting the longitude of the observer to the moment when they first witnessed the sun, can you make any specific claims regarding a specific height sample along the equator? Do you need to know the height of the first observer (in this case 0 'above sea level, fingers in the water on the beach)? Do you need a team of people to fully cover the equator, wrap style? If you cannot solve this problem with this meager team of hundreds, can you do this with an almost infinite number of observers?
No, this is not a homework problem.
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