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# A street light bulb is fixed on a pole 6 m above the level of street. If a woman of height casts a shadow of 3 m, find how far she is away from the base of the pole?

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One of the most important question from similarity chapter in which we have been asked to find how far a woman is away from the base of the pole using the properties of similarities, if a street light bulb is fixed on a pole 6 m above the level of street. If a woman of height casts a shadow of 3 m.

ML Aggarwal Avichal Publication class 10, chapter 13, question no 22

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1. Let A be the position of the street bulb fixed on a pole AB=6 m and CD=1.5 m be the height of a woman and her shadow be ED=3 m.

Let distance between pole and woman be x m.

Here, woman and pole both are standing vertically.

So,CDAB

In CDE and ABE,E=E(common angle)

ABE=CDE (each equal to 90)

BAE=ECD (Corresponding angles)

CDEABE by AAA similarity criterion

Then, ED/EB=CD/AB

⇒3/3+x=1.5/6

3×6=1.5(3+x)

18=4.5+1.5x

1.5x=184.5=13.5

x=13.5​/1.5
=9m

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