What's the relation between angular resolution and distance

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Cocoleia
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Homework Statement


At first I needed to calculate the angular resolution of a telescope (diameter 1m, for visible light) so I used θ=1.22λ/D and got 4.88x10^-7 rad. Now I am asked: "If we wished to use this telescope to image the moon, what is the closest distance two objects can be to be distinguished by such a telescope?"
I don't understand what the relationship between angular resolution and distance is.

Homework Equations



θ=1.22λ/D
 
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Cocoleia said:
Is it just a matter of converting my answer to meters?
You cannot "convert" radians to metres.
If two points on the moon are distance x apart, what is their angular separation when viewed from Earth?