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Compute all parts of given problem:

Problem: A 40 mm camera lens is used to photograph a 17 m tall tree. The lens aperture (diaphragm) opening is now set to f/8 and a 32 mm tall image of the tree is required on the camera sensor ("film").

Part I: What is the aperture diameter at this f/stop?

Part II: Derive a correct expression for diameter?

Part III: What is the distance of the tree?

Any help I can get on this problem is greatly appreciated! I'm not too familiar with this problem.

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