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We propose a model function for aircraft take-off noise prediction with distances radially from a runway. The nonlinear model function reveals four main parameters contributing to the effective strength of aircraft take-off noise over distance. A numerical solution of the model function is used to predict the minimum safe distances for residential locations. We infer that residential locations could not be situated within a 4 km radial distance of an airport to avoid regular exposure to above 45 dBA noise levels at night.