QuestionDetails: Review Conceptual Example 1 before attempting this problem. Ape

Question

QuestionDetails: Review Conceptual Example 1 before attempting this problem. Aperson whose eyes are 1.65 m above thefloor stands in front of a plane mirror. The top of her head is0.15 m above her eyes. (a) What is the height of the shortest mirrorin which she can see her entire image?
1 m

(b) How far above the floor should the bottom edge of the mirror beplaced?
2 m QuestionDetails: (a) What is the height of the shortest mirrorin which she can see her entire image?
1 m

(b) How far above the floor should the bottom edge of the mirror beplaced?
2 m QuestionDetails: Review Conceptual Example 1 before attempting this problem. Aperson whose eyes are 1.65 m above thefloor stands in front of a plane mirror. The top of her head is0.15 m above her eyes. (a) What is the height of the shortest mirrorin which she can see her entire image?
1 m

(b) How far above the floor should the bottom edge of the mirror beplaced?
2 m

Explanation / Answer

If he can barely see his feet, light from his feet isreflected by the very bottom of the mirror. Angle ofincidence equals angle of reflection. His feet, his eyes, andthe reflection point at the bottom of the mirror form a symmetrical(isoscelese) triangle, with the reflection point being at the sameheight as the point halfway between his feet and his eyes. This is true regardless of what distance he stands from themirror.

The same reasoning can be applied to a triangle formed by hiseyes, the top of his head, and a reflection point at the very op ofthe mirror.

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