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    Find the angle of elevation of the top of a 2503250 \sqrt{3}2503​​ m high tower, from a point which is 250 m away from its foot.
    Question

    Find the angle of elevation of the top of a 2503250 \sqrt{3}​ m high tower, from a point which is 250 m away from its foot.

    A.

    75°

    B.

    60°

    C.

    45°

    D.

    30°

    Correct option is B

    Given:

    Height of the tower = 250√3 m
    Distance from the base of the tower to the observation point = 250 m
    Concept Used:
    The angle of elevation θ\theta​ can be found using the tangent function, which relates the height of the tower to the distance from the observation point:
    tan(θ)=Height of the towerDistance from the base of the tower\tan(\theta) = \frac{\text{Height of the tower}}{\text{Distance from the base of the tower}}
    value of tan600=3\tan 60^0 = \sqrt{3}​​
    Solution:
    ​​tan(θ)=2503250=3\tan(\theta) = \frac{250 \sqrt{3}}{250} = \sqrt{3} \\
    The angle whose tangent is 3 is 60.Therefore, the angle of elevation is: θ=60\text{The angle whose tangent is } \sqrt{3} \text{ is } 60^\circ. \\\text{Therefore, the angle of elevation is: } \theta = 60^\circ​​

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