What Is The Circumference Of Tirth?

(Correct Answer Below)

What Is The Circumference Of Tirth?

th, which orbits distant star. It has recently been accepted that Tirth is spherical in shape, though no one knows its size. One day you learn that on the equinox your sun is directly overhead in the city of Tyene, located 400 kilometers due north of you. On the equinox, you go outside and observe that the altitude of your sun is 86 degrees. What is the circumference of Tirth?
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NOTE: if the altitude of the sun is 86 degrees, then the angle between the sun and Zenith is 4 degrees. The sun is at Zenith in Tyene. So, the angle between your Zenith, and the Zenith of Tyene is 4 degrees. The distance between your city and Tyene is 400 km, and is the same fraction around the circumference of your planet as 4 degrees is around the full circle. That is, C / 400 km = 360 / 4. C = 400 km * 360 / 4 Multiply both sides by 400 km C = 36000 km Simplify.

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