The output of the band 6 sensor of the Landsat-7 ETM + instrument, as represented by an integer pixel value in an image, is the nearest integer to 16.03(L + 3.2) + 1, where L is the at-satellite spectral radiance measured in units (W m^–2 sr^–1 µm^–1) as the graph. Band 6 is a TIR band, and the relationship between measured spectral radiance and brightness temperature can be assumed to be given by Equation (6.9) with the parameters given in the text. If the band 6 output, when observing an area known to consist entirely of melting snow, is 145, estimate the contribution of the atmosphere to the measured brightness temperature and comment on your answer.