Question

A flag pole 4 m tall casts a 6 m., shadow. At the same time, a nearby building casts a shadow of 24 m. How tall is the building ?
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Answer 1

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Answer 2

            ༒ Qυєѕтiσи ༒

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A flag pole 4 m tall casts a 6 m., shadow. At the same time, a nearby building casts a shadow of 24 m. How tall is the building ?

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            ★彡 Sσℓυтiσи 彡★

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۞۞ Refer the image first ۞۞

Given :-

4m length flag pole casts a shadow 6m.

Let x m length/tall building casts a shadow 24m.

Let AB be the the length of flag pole = 24m.

Shadow of AB = BC = 6m.

PQ be the building = x m (say)

QR, the shadow of the building = 24m

From the figure,

∠A = ∠P

∠B = ∠Q

⛬ ∆ABC ~ ∆PQR by A.A. similarity condition

Hence, AB/PQ = BC/QR

[ °.° Ratio of corresponding angles is equal ]

=> 4/6 = x/24

=> x = 25 × 4 / 6

=> x = 96/6

=> x = 16

⛬ Height of the building = 16m .

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