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Two identical balls are launched with the same initial speed, but at different angles with respect...

Two identical balls are launched with the same initial speed, but at different angles with respect to the horizontal. They both land at the level they were launched from, and they have the same range (they travel the same horizontal distance). The maximum height reached by one ball is exactly twice as high as the maximum height reached by the other ball. The two launch angles are closest to which of these pairs? (the answer is 55 and 35). Can you also tell me what the angles would be for 3x 4x as high as max height. Please explain what you are doing including background information so I can replicate it for other angle questions.

Thank you

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