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​If the height of a pole is 636\sqrt{3}63​​ metre and the length of its shadow is 6 metre, then the angle of elevation of the sun is:
Question

​If the height of a pole is 636\sqrt{3}​ metre and the length of its shadow is 6 metre, then the angle of elevation of the sun is:

A.

60°

B.

45°

C.

30°

D.


Correct option is A

Given:

Height of the pole = 636\sqrt{3}636\sqrt 3​ meters

Length of the shadow = 666 meters

​Formula Used:

tan(θ)=Height of the poleLength of the shadow \tan(\theta) = \frac{\text{Height of the pole}}{\text{Length of the shadow}}

Solution:

Substitute the given values into the formula: 

tan(θ)=636=3\tan(\theta) = \frac{6\sqrt{3}}{6} = \sqrt{3} 

tan(θtan⁡(θ) = tan 60​∘

θ = 60° 

Thus, option (A) satisfied


​​

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