Question

An electric pole, 14 meter high, casts a shadow of 10 meters. Find the height of a tree that casts a shadow of 15 meters under similar conditions​

Answer 1

Answer:

21

Step-by-step explanation:

14/10 = x/15

14*15 = 10x

210=10x

x=21m

Answer 2

Given :-

• 14 metres high pile costs a shadow is 10 cm.

To find :-

• find the height of the tree.

According to the question.

let the height of tree be $\bf\blue{'x'}$

Thus our table look like -

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Height of object (in m)⠀⠀⠀ 14 ⠀ | x

length of shadow (in m) ⠀ 10⠀⠀ | 15

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• Now, as the height of object increase the length of its shadow also increase.

★ They are in direct proportion .

$\implies{\sf{\large { \:\:\: \dfrac{14}{10}\: }}}$ = ${\sf{\large { \:\:\: \dfrac{x}{15}\: }}}$

⠀⠀⠀⠀

$\:\:\:\:\:\bold{\underline{\sf{\red{x~=~21}}}}$

$\qquad\quad\boxed{\bf{\mid{\overline{\underline{\purple{\bigstar\: Height~of~tree~is~21m.}}}}}\mid}$⠀

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Note - Table and full solution are also in attachment .

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Thanks ,