Question

the angle of elevation of sun when the length of the shadow of a tree is √3 time of the height of tree is​

Answer 1

AnswEr:-

Given :-

• Length of shadow of tree = √3 times height of tree.

To find:-

• Angle of elevation.

Solution:-

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Let ,

AB = height of tree

BC = shadow of tree &

∠ACB = θ.

We know :

❥ Cot θ = Adj / opp .

ATQ :

➼ Cot θ = BC/AB

⇒ Cot θ = √3h /h

⇒ Cot θ = √3

[Cot 30° = √3 ]

∴ θ = 30°.

Hence, the angle of elevation is 30°.

____________________

Answer 2

Answer:-

Given:-

• The length of the shadow of a tree = √3

To find:-

• The angle of elevation

Solution:-

Let AC be tree and AB be its shadow

Given, AB = √3h--------( 1 )

Then,

In ΔABC

AB/BC = tan ∅

h/√3k = tan ∅

tan ∅ = 1/√3

⇒∅ = 30°

Therefore, the angle of elevation of sum is " 30 ° "