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The perceived size is usually measured in terms of the angle subtended by the object at the observation point.


Suppose an object of length L, is at a distance D. Then the angular size perceived by an observer who is along the perpendicular bisector of the object, is 2*arctan(L/2D). The formula holds for small divergences from the perpendicular bisector but not significant ones.

For example, for a person standing near the base of a tower, the perceived size is arctan(L/D).

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Q: What is a formula to calculate the perceived size of an object depending on its distance?
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