Question

If the ratio of the height of a tower and the length of its shadow is √3:1, what is the angle of elevation of the Sun?

Answer 1

Answer:

The angle of elevation of the Sun is 60°. 

Step-by-step explanation:

Given : Ratio of the height of a tower and the length of its shadow =  √3 : 1.

Let height of a tower, AB = √3 & length of its shadow , BC = 1 

Let angle of elevation of the Sun is θ .

In right angle ∆ ABC , 

tan θ = P/B 

tan θ  = AB/BC

tan θ  = √3/1

tan θ  = √3 

tan θ  = tan 60° 

[tan 60° = √3]

θ = 60° 

Hence, the angle of elevation of the Sun is 60°. 

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Answer 2

Answer:

Step-by-step explanation:

Given :-

Ratio of the height of a tower and the length =  √3 : 1.

To Find :-

Angle of elevation

Solution :-

Let height of a tower, AB = √3  

length of its shadow , BC = 1 

Let angle of elevation of the Sun is θ .

In right angle ∆ ABC , 

⇒ tan θ = P/B 

⇒ tan θ  = AB/BC

⇒ tan θ  = √3/1

⇒ tan θ  = √3 

⇒ tan θ  = tan 60° [tan 60° = √3]

⇒ θ = 60° 

Hence, the angle of elevation of the Sun is 60°.