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    Question

    A 16-meter-long rope is stretched from the ground to the

    top of a house, forming a 30° angle with the ground. Determine the height of the house.
    A 8 m Correct Answer Incorrect Answer
    B 16 m Correct Answer Incorrect Answer
    C 16/√3 m Correct Answer Incorrect Answer
    D 16√3 Correct Answer Incorrect Answer

    Solution

    Image

    Let AB be the height of the house and AC be the length of the rope

    In right ΔABC

    sin30° = (AB/AC)

    Or, (1/2) = (AB/16)

    Or, AB = (16/2) = 8

    Therefore, the height of the house = 8 metres

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