A diffuse, opaque surface at 700 K has spectral emissivities of = 0 for 0

A diffuse, opaque surface at 700 K has spectral emissivities of ɛ_λ = 0 for 0 < λ <  3 λm,  ɛ_λ = 0.5 for 3 μm < λ < 10 μm, and  ɛ_λ = 0.9 for 10 μm < λ < ∞. A radiant flux of 1000 W/m², which is uniformly distributed between 1 and 6 μm, is incident on the surface at an angle of 30° relative to the surface normal.

Calculate the total radiant power from a 10^-4 m² area of the surface that reaches a radiation detector positioned along the normal to the area. The aperture of the detector is 10^-5 m², and its distance from the surface is 1 m.