Question

an electric pole 14 m high cast shadow of 10 m find the height of a tree that cast a shadow of 15 m under similar condition

Answer 1

The ratio of the height of the pole to length of its shadow should be equal to the ratio of the height of the tree to lenghth of its shadow.

Let the height of the tree be h

⇒ 14/10 = h/15
⇒        h  = (14/10) x 15
           h = 21 m
∴ The height of the tree is 21 m

Answer 2

Answer:

Here's a form a table as shown above

Let the height of the tree be x metres .

Note that more the height of an object,the more would be the length of its shadow.

Hence,this is a case of direct Proportion.

We have

$\frac{14}{10} = \frac{x}{15}$

$= > \frac{14}{10} \times 15 = x$

$= > \frac{14 \times 3}{2} = x$

$= > x = 21$

Thus, height of the tree is 21 meters.