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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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