The emissivity of galvanized steel sheet, a common roofing material, is = 0.13 at temperatures around

The emissivity of galvanized steel sheet, a common roofing material, is ϵ = 0.13 at temperatures around 300 K, while its absorptivity for solar irradiation is α_S = 0.65. Would the neighborhood cat be comfortable walking on a roof constructed of the material on a day when G_S = 750 W/m², T_∞ = 16°C, and h = 7 W/m²  · K? Assume the bottom surface of the steel is insulated.