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    Question

    A tree breaks due to a storm and the top touches the

    ground 30 meters away from its base, making a 30-degree angle with the ground. What was the height of the tree before it broke?
    A 30 meters Correct Answer Incorrect Answer
    B 15 meters Correct Answer Incorrect Answer
    C 20 meters Correct Answer Incorrect Answer
    D 25 meters Correct Answer Incorrect Answer

    Solution

    Using trigonometry (tan) = opposite/adjacent): tan 30° = Height/30 Since tan 30° = 1/√3 1 /√3 =Height/30 Height = 30×1/√3   ≈ 17.32 meters Approximating to the closest option: 15 meters

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