Question

the ratio of the height of a tree and it's shadow is 6:10 if the length of the shadow is 15m find the height of the tree​

Answer 1

Question:-

the ratio of the height of a tree and it's shadow is 6:10 if the length of the shadow is 15m find the height of the tree

Answer:-

• The height of tree is 9 m.

To find:-

• Height of tree

Solution:-

• Ratio = 6:10

Put x in the ratio,

• Height of tree = 6x
• Length of shadow = 10x

Given,

• Length of shadow = 15 m

According to question,

$\large{ \tt : \implies \: \: \: \: \: \: \: 10x = 15}$

$\large{ \tt : \implies \: \: \: \: \: \: \: x = \frac{15}{10} }$

$\large{ \tt : \implies \: \: \: \: \: \: \: x = 1.5}$

• The value of x is 1.5

Now, we have to find Height of tree:-

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

$\large{ \tt : \implies \: \: \: \: \: \: \: 6 \times 1.5}$

$\large{ \tt : \implies \: \: \: \: \: \: \: 9}$

Hence,

The height of tree is 9 m.

Answer 2

Answer:

answer will be 9

6x and 10x

10x = 15

x = 3/2

6x = 6×3/2

= 9.

hence height of tree will be 9m