You are an astronomer on planet Tirth, which orbits a 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 450 kilometers due north of you. On the equinox, you go outside in Alectown and observe that the altitude of your sun is 85 ∘∘. What is the circumference of Tirth? Express your answer in kilometers to two significant figures.

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Chapter1: Units, Trigonometry. And Vectors
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You are an astronomer on planet Tirth, which orbits a 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 450 kilometers due north of you. On the equinox, you go outside in Alectown and observe that the altitude of your sun is 85 ∘∘.

What is the circumference of Tirth?
Express your answer in kilometers to two significant figures.
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