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A hot-air balloon drifted at a constant altitude on a straight course from a place directly above a cow to a place directly above another cow. The cows were grazing forty meters apart at point A and B, and they first spotted the balloon when it was at point C. At that moment, the first cow had a line of sight that made an angle of 68.9 degrees with the level ground, and the second had a line of sight that made an angle of 76.5 with the ground. What was the altitude of the balloon?

OpenStudy (babynini):

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OpenStudy (babynini):

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