Answer :
To see your eyes reflected in the mirror, the mirror needs to be tilted at an angle of 33.02°.
Given,
You look down at a little vertical mirror hanging on the wall as you are standing 1.55 meters in front of it. You may see your shoes reflected in this mirror. How far should the mirror be slanted for you to see your eyes mirrored if your eyes are 1.95 meters above your feet? (The mirror is still in the same place, but its angle to the vertical has changed.)
Now, by assuming we have,
The height at which the eyes are above the feet y = 1.95
The distance between the person and wall x = 1.55
From a triangle,
tan∅ = (y/2) / x
tan∅ = (1.95/2) / 1.55
∅ = 33.02°
Hence, the mirror should be tilted for you to see your eyes reflected in the mirror by an angle of 33.02°.
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