# plane_mirror - Plane Mirror Given Find H 1.6m d H 1 1.41m...

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Plane Mirror Given: Find: m H 6 . 1 ? d m H 41 . 1 1 ? min h m D 1 ? min h m D 7 . 5 ? s 2 / H H camera ? H You are preparing to go shopping for a plane mirror that will be hung on the wall of your dressing room. Your overall height is H = 1.6 m, and the vertical distance from the floor to the mid-line of your eyes is H 1 = 1.41 m. You want the mirror to be tall enough to allow you to view your entire body from the tip of your head to the soles of your feet, while standing a horizontal distance D = 1 m from the mirror. Being frugal, you want to purchase the smallest possible mirror. (a) What height d above the floor should the bottom of the mirror be mounted? (b) What is the minimum required mirror height (vertical dimension)? (c) If instead, you want to be able to view your entire body in the mirror while standing at twice the distance away, D ' = 5.7 m, what is the minimum required mirror height in this case?

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