35. ★★ To increase security in a store, a storekeeper decides to replace an old plane mirror with a new convex mirror with the same diameter. He finds a 12.0 in. heavy-duty glass indoor spherical mirror. The seller claims that the mirror has a 160° field of view area that is ideal for the store. (a) (b) What should the focal length of the mirror be for the specifications to be true? If a person stands 2.00 m away from this mirror, how large will her image be in the mirror? What are the properties of the image?

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35. ★★ To increase security in a store, a storekeeper decides
to replace an old plane mirror with a new convex mirror
with the same diameter. He finds a 12.0 in. heavy-duty glass
indoor spherical mirror. The seller claims that the mirror
has a 160° field of view area that is ideal for the store.
(a) What should the focal length of the mirror be for
the specifications to be true?
If a person stands 2.00 m away from this mirror,
how large will her image be in the mirror? What are
the properties of the image?
(b)
Transcribed Image Text:35. ★★ To increase security in a store, a storekeeper decides to replace an old plane mirror with a new convex mirror with the same diameter. He finds a 12.0 in. heavy-duty glass indoor spherical mirror. The seller claims that the mirror has a 160° field of view area that is ideal for the store. (a) What should the focal length of the mirror be for the specifications to be true? If a person stands 2.00 m away from this mirror, how large will her image be in the mirror? What are the properties of the image? (b)
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