Math, asked by shugoiram, 1 year ago

A pole of height 3 m is placed in front of standing lamp 10 m away. the length of the shadow of the pole that is cast as result of the light from the lamp is 6 m . find the height of lamp.

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Answered by Anonymous

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Anonymous: It so just below the answer I guess

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Answered by gadakhsanket

Dear Student,

height of lamp = 8 m

Let θ be angle light rays make with horizontal.

tanθ = height of pole / shadow of pole = height of lamp / (distance between pole and lamp + shadow of pole)

So substitute values,

3 / 6 = x / (10 + 6)

1 / 2 = x / 16

x = 16 / 2

x = 8 m

Hence, height of the lamp is 8 m.

Thanks dear. Hope this helps you...

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