Question

Sunidhi wanted to find the height of a tree in her garden she noted the ratio of her height to her shadow length it was 3:1 At the same time she measured the shadow of the tree it was 14 ft what is the height of the tree

Answer 1

Answer:

Height of tree is 42 feet..

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Answer 2

Given :

• Sunidhi wanted to find the height of a tree in her garden she noted the ratio of her height to her shadow length it was 3:1.
• At the same time she measured the shadow of the tree it was 14 ft.

To find :

• The height of the tree =?

Step-by-step explanation :

It is Given that,

Sunidhi wanted to find the height of a tree in her garden she noted the ratio of her height to her shadow length it was 3:1,

•°• Sunidhi's height : Shadow’s length = 3 : 1

Similarly, She find the shadow of tree 14 ft. long.

Now,

Let, the actual height of tree be x ft.

According to the given condition,

Sunidhi's height : Sunidhi's shadow length = Tree height : Length of tree shadow

Substituting the values, we get,

$\implies \tt 3 : 1 = x : 14 \\ \\ \implies \tt \dfrac{3}{1} = \dfrac{x}{14} \\ \\ \implies \tt x = 3 \times 14 \\ \\ \implies \tt x = 42$

Therefore, the height of the tree = 42 ft.