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A 1.6 m tall girl stands at distance of ...

A 1.6 m tall girl stands at distance of 3.2 m from a lamp post and casts shadow of 4.8 m on the ground, then what is the height of the lamp post?

Text Solution

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The correct Answer is:
`8/3m`
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If a 1.5 m tall girl stands at a distance of 3 m from a lamp-post and casts a shadow of length of 4.5 m on the ground, then the height of the lamp-post is (a) 1.5 m (b) 2 m (c) 2.5 m (d) 2.8 m

A 1.6m tall girl stands at a distance of 3.2m from a lamp-post and casts a shadow of 4.8m on the ground.Find the height of the lamp- post by using (i) trigonometric ratios (ii) property of similar triangles.

Knowledge Check

  • 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`

  • A lamp post stands on a horizontal plane. From a point situated at a distance 150 m from its foot, the angle of elevation of the top is 30^(@). What is the height of the lamp post?

    A
    `50 m`
    B
    ` 50 sqrt3 m `
    C
    ` ( 50)/( sqrt3) m `
    D
    ` 100 m`

  • A lamp post stands on a horizontal plane. From a point situated at a distance 150 m from its foot, the angle of elevation of the top is 30^(@) . What is the height of the lamp post?

    A
    50m
    B
    `50sqrt(3)m`
    C
    `(50)/(sqrt(3))m`
    D
    100m

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