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Mathematics, 18.03.2021 01:20 brionnashelp

A homeowner in a large subdivision is building a playhouse for his children, and he wants to measure the roof of the house to make sure it does not exceed height restrictions mandated by the homeowners association. The house is a cube with 8 ft sides, and the roof is a square pyramid. Each section of the roof is an isosceles triangle with a height of 8 ft. What is the height of the roof? Round to the hundredth.

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