Adv
Rajan@2021
  • 0
Guru

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?

  • 0

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

Share

1 Answer

  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

    • 0
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.

Related Questions