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RU-ALLRUSSIAN 1966 Problem 11

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The distance from A to B is d kilometers. A plane P is flying with constant speed, height and direction from A to B. Over a period of 1 second the angle PAB changes by α\alpha degrees and the angle PBA by β\beta degrees. What is the minimal speed of the plane?

Dataset text NuminaMath olympiads. Quoted with source.

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20\pi \mathrm{d}\sqrt{(\alpha\beta)}

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