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Unformatted text preview: Create assignment, 00224, Homework 10, Apr 22 at 7:03 am 1 This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. The due time is Central time. Vertical Flat Mirror 36:02, trigonometry, numeric, > 1 min, nor- mal. 001 Hint: A ray diagram would be helpful. Determine the minimum height of a vertical flat mirror in which a person 70 in . in height can see his or her full image. Correct answer: 35 in . . Explanation: In the figure, the mirror is labeled AB . A ray from the womans foot F strikes the bottom of the mirror at B , with an angle equal to and proceeds to the womans eye. L C D A B E T F M The two right triangles EBM and FBM are identical, since they share the common side MB and angle . Therefore EM = MF = 1 2 EF which is also the distance BC . Similarly, a ray from the top of the womans head T strikes the top of the mirror at A and proceeds to her eye. The same line of reasoning as above leads to the conclusion that DA = 1 2 TE Thus the length AB of the mirror is 1 2 ( TE + EF ), which is one half the womans height. Note that the mirrors bottom edge must be exactly 1 2 EF from the floor for a full-height image to be possible. Note also that the conclusions reached here are valid regardless of how far she stands from the mirror. keywords: Spherical Mirror A 02 36:05, highSchool, numeric, > 1 min, wording- variable. 002 A convex spherical mirror has a radius of curvature of 30 . 6 cm . The object distance is 14 cm ....
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