Question

An electric pole of 14m casts 10m of shadow. find the height of a tree that casts 15m of shadow under similar conditions?​

Answer 1

Answer:

21 m.

Step-by-step explanation:

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

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

So, in case of electric pole,

$\frac{14}{10}$=k→(1)

In case of tree,

$\frac{H_{Tree}}{15}$=k→(2), where $H_{Tree}$ is height of tree

So, from (1) and (2),

$\frac{14}{10}$=$\frac{H_{Tree}}{15}$

$H_{Tree}$=$\frac{14*15}{10}$=21m

So, height of tree is 21 meters.