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A boy 1.5 m tall standing from a lamp at...

A boy 1.5 m tall standing from a lamp at a distance of 3m. The lamp casts a shadow of 4.5 m. Find the height of the lamp.

Text Solution

Verified by Experts

`/_ABE & /_CDE`are similar
`(DE)/(AD+DE)=(CD)/(AB)`
`4.5/(3+4.5)=1.5/h`
`4.5/7.5=1.5/h`
`hxx10=25`
`h=2.5m`
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Knowledge Check

  • A 1.5m tall boy stands at a distance of 3m from a lamp post and casts a shadow of 4.5m on the ground. Find the height of the lamp.

    A
    3.5 m
    B
    1.5 m
    C
    2.5 m
    D
    5.5 m

  • If a 1.5 m-tall girl stands at a distance of 3 m from a lamp-post and casts a shadow of length 4.5 m on the ground, then the height of the lamp-post is

    A
    `1.5 m`
    B
    `2m`
    C
    `2.5 m`
    D
    `2.8 m`

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