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Sva su tijela lijepa | All Shapes Are Beautiful #3

Na ravnini \pi leže tri sfere i međusobno se diraju. Polumjeri tih sfera su 1, 1 i 2. Koliki je kut između ravnine \pi i ravnine što prolazi središtima tih triju sfera? Odogovor napiši u stupnjevima.
Three spheres lie on plane \pi and all three of them touch each other. The radii of those spheres are 1, 1, and 2. What is the angle between the plane \pi and the plane passing through the centers of those three spheres? Write the answer in degrees.