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    A boy flying a kite holds the string of length 24.4 m such that it makes an angle of 30° with the ground. Find the height of the kite from the ground.
    Question

    A boy flying a kite holds the string of length 24.4 m such that it makes an angle of 30° with the ground. Find the height of the kite from the ground.

    A.

    13.6 m

    B.

    13.2 m

    C.

    12.2 m

    D.

    11.5 cm

    Correct option is C

    Given
    Length of the string (Hypotenuse) = 24.4 m
    Angle with the ground (θ) (\theta) ​= 30°
    Formula Used
    sin(θ)=HeightHypotenuse\sin(\theta) = \frac{Height}{Hypotenuse}​​
    Solution
    sin(30°)=Height24.4 Sincesin(30°)=12 12=Height24.4 Height=24.42=12.2m\sin(30°) = \frac{Height}{24.4} \\\ \\Since \sin(30°) = \frac{1}{2}\\\ \\\frac{1}{2} = \frac{Height}{24.4} \\\ \\Height = \frac{24.4}{2} = 12.2 m\\​​
    Final Answer
    So the correct answer is (c) 
    Exam Hall Method:

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