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    Question

    From the top of a cliff 25 m high, the angle of

    elevation of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is
    A 50 m Correct Answer Incorrect Answer
    B 75 m Correct Answer Incorrect Answer
    C 100 m Correct Answer Incorrect Answer
    D 25 m Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    The cliff is 25 m high. The angle of elevation to the top of the tower = angle of depression to the foot of the tower. This means the tower is symmetrical about the top of the cliff. So, the extra height of the tower above the cliff = height of the cliff (25 m). Total height of the tower = 25 + 25 = 50 m.

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