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# Question and Answer

An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts a shadow of 15 metres under similar conditions.
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## QuestionMathsClass 8

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

As shadow is directly propotional to height, we can say that,

Height/Shadow $$={k}$$, where k is a constant.

So, in case of electric pole,

$$\frac{{14}}{{10}}={k}\to{\left({1}\right)}$$

In case of tree,

$$\frac{{H}_{{T}}}{{15}}={k}\to{\left({2}\right)}$$, where $${H}_{{T}}$$ is height of tree

So, from (1) and (2),

$$\frac{{14}}{{10}}=\frac{{H}_{{T}}}{{15}}$$

$${H}_{{T}}={14}\ast\frac{{15}}{{10}}={21}{m}$$

So, height of tree is $${21}$$ meters.