The street light bracket cable is attached to the walls of houses that are on the opposite sides of a [[$ 34, \! 50 $]] m wide street. The cable is attached to the walls at the height of [[$ 6, \! 50 $]] m. The lamp hangs from the center of the wire, which is [[$ 1, \! 10 $]] m below the ends of the wire. How long is the wire, and how large is the angle formed by the two halves of wire? (Source: Finnish matriculation exam, autumn 1996)

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Answer: The length of the wire is m and the angle is ° .