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How Do You Find The Simplest Radical Form?

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Your family room has a sliding glass door with southern exposure. You want to buy an awing for the door that will be just long enough to keep the sun out when it is at the highest point in the sky. The angle of elevation of the sun at this point is 70 degrees and the height of the door is 8 feet. About hoe far should the overhang extend?

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