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The triangles formed by the rays reflected by the mirror are similar, such
that the height of the mirror is sum of half the height of the image.
Responses:
a) Height of the mirror is 0.81 m
b) Distance of the mirror above the floor is 0.735 m
a) Angle of incidence = Angle of reflection
The angle formed by the ray from the feet to the mirror, reflected to the
eye are equal.
Therefore, the ray from the feet reflected to the eye forms similar
triangles.
Distance from the persons eyes to the head, h₂ = 15 cm = 0.15 m
Therefore;
Height from the persons eye to the feet, h₁ = 1.62 m - 0.15 m = 1.47 m
[tex]Height \ of \ the \ mirror = \mathbf{\dfrac{h_1 + h_2}{2}}[/tex]
Which gives;
b) The distance of the mirror above the ground is given as follows;
[tex]Distance \ of \ the \ mirror \ above \ the \ floor = \mathbf{\dfrac{h_2 }{2}\alpha}[/tex]
Which gives;
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