Dispersion of light

1. The problem statement, all variables and given/known data
This is not a homework problem but I’ll post it here.It’s just a question that came to my mind.

Why does distant objects appear dimmer?

3. The attempt at a solution
My answer would be the inverse square law.
For a point light,it can be quite easy to explain.As the distance increases,the amount of light falling per cm^3 decreases.
But what about a rod light(Whatever.See the diagram)?

I can argue that the amount of light falling on E2 is the same as the amount falling on the E1.What’s wrong here?
Is this the way to solve this problem?Can you correct me?

Attached Images
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