Question

A vertical pole of length 12cm coasts a shadow 8cm long on the ground and at the same time a tower coasts 40cm long find height of the tower​

Answer 1

Answer:

Height of the tower is 60cm.

Explanation:

Given that,

A vertical pole of length 12cm casts a shadow of 8cm.

And at the same time, a tower casts 40cm long shadow we need to find the height of the tower.

Let's assume the height of the tower is $\rm x$cm.

Here, it's a direct proportion because the shadow is corresponding to object.

Doing a proportional analysis :-

$\rm \implies \: 12 : 8 : : x : 40$

$\rm \implies \: \dfrac{12}{8} = \dfrac{x}{40}$

$\rm \implies \: \dfrac{12 \times 40}{8} = x$

$\rm \implies \: \dfrac{480}{8} = x$

$\rm \implies \: 60= x$

∴ Height of the tower is 60cm

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Direct proportion :-

If we say two quantities x and y are in direct proportion it can be written as x ∝ y