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

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.

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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?

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

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 vertical pole 6 m log casts a shadow of length 3.6 m on the ground. What is the height of tower which casts a shadow of length 18 m at the same time?

    A
    `10.8 m`
    B
    `28.8m`
    C
    `32.4m`
    D
    30m
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