2016年IOAA理论第4题-影子

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英文题目

(T4) Shadows An observer in the northern hemisphere noticed that the length of the shortest shadow of a 1.000 m vertical stick on a day was 1.732 m. On the same day, the length of the longest shadow of the same vertical stick was measured to be 5.671 m.

Find the latitude, 𝜙, of the observer and declination of the Sun, 𝛿_⊙, on that day. Assume the Sun to be a point source and ignore atmospheric refraction.