question archive An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50 degree with the wall

An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50 degree with the wall

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An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50 degree with the wall. The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X =55 degree.  Find the length L of the awning.

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