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Its size is not affected in the least by its distance from an observer. If it were, can you possibly imagine the
stress and strain on Brett Favre's body during a game, as he is watched by 60,000 people in the stands, all
at different distances from him ? ! ?

The object's APPARENT size ... i.e. the angle that it subtends at the eye of the observer ... depends on
the observer's distance from it, in the following totally predictable and purely geometrical fashion:

The angle subtended by the object =

arctangent [ (object's dimension perpendicular to the line of sight) divided by (observer's distance) ].

But that's the observer's fault, not the object's.

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Q: How is the size of an object affected by its distance from an observer?
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What is a formula to calculate the perceived size of an object depending on its distance?

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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Yes, the closer you get the bigger the object will appear but to only the size of the object really is, and the farther away you get the small it will get


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Smaller as their distance from the observer increases.Foreshortened: the size of an object's dimensions along the line of sight are relatively shorter than dimensions across the line of sight.


What is the size of the shadow and the distance of the object from the light source when a shadow is formed?

If you are using a point light source, the shadow's size is the object's size divided by the distance from the light source to the object multiplied by the distance from the light source to the shadow.


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The small angle formula is used for measuring the distance to a far away object when the actual size and angular size are known, or for finding out the actual size of a faraway object when the distance to the object and angular size are known. In arc-seconds: a = 206265 x D/d where a = the angular size of the object in arc-seconds D = the actual linear size of an object in km d = the distance to the object in km 206265 = the number of arc-seconds in a complete circle divided by 2pi In Radians: a = D/d where a = angular size of object in radians


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