Have you seen your face on mirror

Geometry Level 3

A mirror of length 2X is kept in front of a road as shown in fig. A point object is kept at a distance X from the mirror. An observer is able to see the image till distance 12X while moving along the road. Then distance Y between the road and the mirror in terms of X is nX Find n


The answer is 5.

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2 solutions

Uahbid Dey
Jun 17, 2014

apply similar triangle law. => 12x/2x = (x+nx)/x => 6 = 1+n => n = 5

Try Solving for this, Area of trapezoid = area of triangle 1 - area of triangle 2. You will get the equation as, 7nx^2 = x^2(6n+5) => 5

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