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    Question

    A person is standing at a point 120 meters away from a

    tower. The angle of elevation to the top of the tower is 60°. If the height of the tower increases by 20 meters, the angle of elevation becomes 75°. Find the original height of the tower.
    A 80√3 m Correct Answer Incorrect Answer
    B 100√3 m Correct Answer Incorrect Answer
    C 120√3 m Correct Answer Incorrect Answer
    D 140√3 m Correct Answer Incorrect Answer

    Solution

    Let the original height of the tower be h meters. From the angle of elevation of 60°: tan 60° = h / 120 → √3 = h / 120  h = 120√3. Answer: c) 120√3 m

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