Many people requested this one. It was asked to 9th grade students in India who had only learned geometry, so you are supposed to solve it without using trigonometry. I thank Anand Gautam for discovering the incredible solution!
Polish translation credit: Tłumaczenie: Przemyslav
Znajdź mnie tutaj: ła-wieś-pośrodku-niczego/
You can also solve the problem with trigonometry. This post does so for the 2nd part of the question:
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