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# An interesting problem to ponder

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re: An interesting problem to ponder
10/11/2008 12:32:30 AM
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Well, I think the short answer is, less time than it would take me to climb a 10-meter ladder! My calculations for case 1 gives me a time of 24.35 seconds. This is ignoring atmospheric refraction and the height of the observer. In 24 hours, the earth rotates 360 degrees, or 240 seconds per degree. For case 1, ignoring the observer's height, the angle is formed by the right triangle of the radius (6378000m) as the adjacent side and the the radius plus the platform as the hypotenuse (6378010m), take the inverse cosine of that, the angle is 0.1014606 degrees, times 240 seconds per degree, gives 24.35 seconds rounded to four significant figures. I have no idea how to calculate the other cases, although as one gets close enough to either pole, at the solstice, the sun never sets (or rises, depending) in one rotation of the earth!

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