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A girl of height 90 cm is walking away ...

A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1.2 m/s. If the lamp is 3.6 m above the ground, find the length of her shadow after 4 seconds.

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the concept of similar triangles. ### Step 1: Understand the given information - Height of the lamp-post (AB) = 3.6 m - Height of the girl (CD) = 90 cm = 0.9 m - Speed of the girl = 1.2 m/s - Time = 4 seconds ...
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Knowledge Check

  • A man of height 'h' is walking away from a street lamp with a constant speed 'v'. The height of the street lamp is 3h. The rate at which the length of the man's shadow is increasing when he is at a distance 10 h from the base of the street lamp is

    A
    v/2
    B
    v/3
    C
    2v
    D
    v/6

  • A man of height 1.8 metre is moving away from a lamp post at the rate of 1.2m//sec . If the height of the lamp post be 4.5 metre, then the rate at which the shadow of the man is lengthening is

    A
    `0.4m//sec`
    B
    `0.8m//sec`
    C
    `1.2m//sec`
    D
    None of these

  • A man of height 'h' is walking away from a street lamp with a constant speed 'v' .The height of the street lamp is 3h The rate at which of the length of man's shadow is increasingwhen he is at a distance 10h from the base of the street lamp is:

    A
    `v//2`
    B
    `v//3`
    C
    `2v`
    D
    `v//6`

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