Retina Image Size: 43 ft Tree vs. 12 in Flower - Eye Distance Comparison

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SUMMARY

The discussion centers on determining which object forms a larger image on the retina: a 43 ft tree viewed from 210 ft or a 12 in flower viewed from 2.0 ft. The key to solving this problem lies in understanding the angular size of each object as perceived by the eye. The larger the angle subtended by an object at the eye, the larger the image on the retina. The conclusion is that the tree, despite its distance, subtends a larger angle than the flower, resulting in a larger retinal image.

PREREQUISITES
  • Understanding of angular size and its relation to distance
  • Basic knowledge of geometry, specifically triangles
  • Familiarity with the human eye's anatomy and image formation
  • Concept of similar triangles in visual perception
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  • Research the concept of angular size in optics
  • Study the geometry of similar triangles and their applications in vision
  • Explore the anatomy of the human eye and how it processes images
  • Learn about the mathematical calculations for image size on the retina
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This discussion is beneficial for students studying optics, educators teaching physics concepts, and anyone interested in the visual perception of size and distance.

matt72lsu
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Homework Statement


Which forms the larger image on the retina of your eye: a 43 ft tree seen from a distance of 210 ft, or a 12 in flower viewed from a distance of 2.0 ft?


Homework Equations


none?


The Attempt at a Solution


I don't really understand how you would go about working this out, but using my common sense, I'd imagine that it is the flower. However, I was wondering if anybody could guide me if there is in fact a particular way of figuring this out? Thanks
 
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Assume the distance from the lens to the image is the same
Then it's just a question of which triangle has a larger angle.
 

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