Asymptotic formulae of the theory of radiative transfer have been examined for diffuse fluxes outgoing from an optically thick, homogeneous scattering layer. An analytical expression for the parameter s=√(1 -Λ)/(3 - x1) has been obtained in terms of analytical expression for the parameter radiative fluxes, which, in combination with the formula derived in (5), makes it possible to solve an "inverse problem" for the cloudy layer. The accuracy of the ex-pressions obtained and their applicability have been studied. On the basis of aircraft measurements of diffuse solar radiation fluxes, spectral dependences have been obtained for volume scattering coefficients and the true absorption of light in the cloudy layer.