Question

a shadow of a man of height 5v3m is 15ft at 4pm. what will be the length of the shadow of a pole which is 3 times higher than the man at the same time that is 4 pm

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Kalpeshprabhakar

Genius

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Hey mate !!

Here's the answer !!

Let us take the scenario in the form of a right triangle, where the height of the pole is represented as AB, the shadow of the pole is represented as BC. Let

∠ C be the angle of Elevation.

So, We know that,

Tan Ф = Opposite / Adjacent

=> Tan Ф = 15 / 15 √ 3

=> Tan Ф = 1 / √ 3

We know that, Tan 30° = 1 / √ 3

So we can say that, Ф = 30°

Hence the angle of Elevation of the sum at that time was 30°.

Hope my answer helped !!

Cheers !!