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Proved mathematically the height of mirror be half then the height of the object to get full image in mirror.

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Assume that the object (AB) height is h which is same as the image (A'B') height. CD is the mirror. We all know that angle of incidence (i) = angle of reflection (r). As a result, the path traced by the ray forms an isosceles triangle (ADB) with the normal (DE) as angular bisector. We all know that...
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Assume that the object (AB) height is h which is same as the image (A'B') height. CD is the mirror. We all know that angle of incidence (i) = angle of reflection (r). As a result, the path traced by the ray forms an isosceles triangle (ADB) with the normal (DE) as angular bisector. We all know that the angular bisector of an isosceles triangle divides the base of the triangle (AB) in half; i.e. AE=h/2. CAED is a rectangle. Since AE=h/2 => CD = h/2. Hence proved, that the mirror height should be half of the object height to see the full image. (Please refer to the attached image). read less
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Physics Teacher with 10 years of experiences in Physics subject

Height of mirror = ½ Height of the object.
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Tutor

The height of the mirror is depend upon the height of the object and the distance between the mirror and object too.
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Home Tutor

Always the height of the mirror is depend upon the height of the object. It should be half of the object.
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Example: I use ray diagrams which is used to determine what portion of a plane mirror must be used in order to view an image. The diagram below depicts a 6-foot tall man standing in front of a plane mirror. To see the image of his feet, he must sight along a line towards his feet; and to see the image...
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Example: I use ray diagrams which is used to determine what portion of a plane mirror must be used in order to view an image. The diagram below depicts a 6-foot tall man standing in front of a plane mirror. To see the image of his feet, he must sight along a line towards his feet; and to see the image of the top of his head, he must sight along a line towards the top of his head. The ray diagram depicts these lines of sight and the complete path of light from his extremities to the mirror and to the eye. In order to view his image, the man must look as low as point Y (to see his feet) and as high as point X (to see the tip of his head). The man only needs the portion of mirror extending between points X and Y in order to view his entire image. All other portions of the mirror are useless to the task of this man viewing his own image. The diagram depicts some important information about plane mirrors. Using a cm-ruler, measure the height of the man (the vertical arrow) on the computer screen and measure the distance between points X and Y. What do you notice? The man is twice as tall as the distance between points X and Y. In other words, to view an image of yourself in a plane mirror, you will need an amount of mirror equal to one-half of your height. A 6-foot tall man needs 3-feet of mirror (positioned properly) in order to view his entire image. read less
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Biology Teacher

Yes, it's possible, it depend on the distance of the mirror and the object, and if there is no distance, then the mirror should be concave mirror.
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