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A mattress of length L is carried vertically around a corner where a 3m wide hallway meets a 4m wide hallway. For 0 < <

A mattress of length L is carried vertically around a corner where a 3m wide hallway meets a 4m wide hallway. For 0 < < 2, find the relationship between L and at the moment when the mattress simultaneously touches both walls and the corner C. Estimate when L=10m

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