The Moon has no atmosphere. Assuming that the Sun's rays strike a small region on the Moon at angle θ from the normal to the surface, show that the temperature T at that region is given by T=(S(1−A)cosθ/σ)1/4, stating your assumptions. The albedo of the Moon is A≈0.15 and the solar constant S=1.36kWm−2. Using these numbers, calculate T for various values of θ.