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A man 1.84 m tall stands in front of a mirror and sees his full height, no more and no less. If his eyes are 0.14 m from the top of his head, what is the minimum height of the mirror? How large should the mirror be if he wants to see only the upper 50% of his body? 

          A man 1.84 m tall stands in front of a mirror and sees his full height, no more and no less. If his eyes are 0.14 m from the top of his head, what is the minimum height of the mirror? How large should the mirror be if he wants to see only the upper 50% of his body?
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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A man 1.84 m tall stands in front of a mirror and sees his full height, no more and no less. If his eyes are 0.14 m from the top of his head, what is the minimum height of the mirror? How large should the mirror be if he wants to see only the upper 50% of his body?
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Transcript

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00:01 In this question we are using a figure from the figure we understand that the total length of the mirror is d.
00:23 Now we can calculate the length or the distance from food to ice will be that will be a .e will be equal to a .b plus b from the triangle from triangle abm and triangle b m we mentioned that the from the laws of reflection we mentioned that angle of incidence will be equal to angle of reflection if the angles are equal we can take ab is equal to b e if a b equal to b e then we can write b e will be equal to half of ae now at the total length of the mirror d will be equal to this will be b e plus half of length of h e that is half into e h now we know that b e is equal to half of a plus half of e h from this we get half of ee plus eh.
02:13 This will be equal to half of h...
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