### What is the index of refraction of the hot air

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Sometimes mirages are formed when light reflects from of a warm layer of air near a hot surface (like a road). If it is observed that the light reflects from angles of incidence greater than 89.2 degrees, and if the index of refraction of cool air is 1.003, what is the index of refraction of the hot air (you will need 4 or more decimal places for your answer).

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