This is close to the temperature of the Sun. (b) Given the temperature, we solve equation (2.5) for the wavelength:
This is in the infrared part of the spectrum. Even though the Earth is giving off radiation, we don't see it glowing in the visible part of the spectrum. Similarly, objects around us that are at essentially the same temperature as the Earth give off most of their radiation in the infrared part of the spectrum, with very little visible light. The visible light that we see from surrounding objects is partially reflected sunlight or artificial light.
We could have solved (b) by scaling a known result, such as the answer in (a):
^ Earth TA
'lA 1 Earth
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