Question

1. An electric pole casts a shadow of length 10 m at a particular time when a tree 8 m high
casts a shadow of length 6 m. Find the height of the pole. ​

Answer 1

Question:-

An electric pole casts a shadow of length 10 m at a particular time when a tree 8 m high casts a shadow of length 6 m. Find the height of the pole.

Answer:-

• The height of electric pole is 13.34 m

To find:-

• Height of electric pole

Solution:-

• Let x be height of the electric pole.

As we know,

• Shadow of electric pole or tree at a certain time is proportional to its original length.

$\large { \tt : \implies \: \: \: \: x : 10 : : 8 : 6}$

According to question,

$\large{ \tt : \implies \: \: \: \: \frac{x}{10} = \frac{8}{6} }$

After cross multiplication,

$\large{ \tt : \implies \: \: \: \: x \times 6 = 8 \times 10}$

$\large{ \tt : \implies \: \: \: \: x = \frac{8 \times 10}{6} }$

$\large{ \tt : \implies \: \: \: \: x = 13.34}$

• The height of electric pole is 13.34 m

Answer 2

☆ Solution ☆

Given :-

• An electric pole casts a shadow of length 10 m at a particular time when a tree 8 m high
• casts a shadow of length 6 m .

To Find :-

• The height of the pole.

Step-by-Step-Explaination :-

Let height of electric pole be "h" m.

Shadow = 10 m and height = h m = for electric pole

Shadow = 6 m and height = 8 m = for tree

Now,

For tree and electric pole

=> Height : Shadow

=> 8 m : 6 m

=> h = 10

By cross multiplication,

=> 8 × 10 = h × 6

=> 80 = 6h

=> 6h = 80

=> h = 80 / 6

=> h = 13.34 m

Hence,

• The height of electric pole is 13.34 m.