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Question

A pole of height 4 m is kept in front of a vertical plane mirror of length 2 m. The lower end of the mirror is at a height of 6 m from the ground. The horizontal distance between the mirror and the pole is 2 m. Upto what minimum and maximum heights a man can see the image of top of the pole at a distance of 4 m standing on the same horizontal line which is passing through the pole and the horizontal point below the mirror?

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Solution

The height of bottom of mirror = 6m,

Height of top of pole = 4m,

Distance between pole and mirror = 2m

Viewing distance from mirror = 4 + 2 = 6m and viewing distance from pole = 4 m

​Maximum height up to a man at a distance of 4 m can see the top of the pole = 6+2+8 = 16 m

minimum height up to person can see the pole = 6 + 4 = 10 m


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