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    Question

    Raju is positioned 30 meters away from the base of a

    tower. From his standing point, the angle of elevation to the top of the tower is 45°. Determine the height of the tower.
    A 60 m Correct Answer Incorrect Answer
    B 30 m Correct Answer Incorrect Answer
    C 40 m Correct Answer Incorrect Answer
    D 20 m Correct Answer Incorrect Answer

    Solution

    Image
    Let the height of tower = AC and position of Rajat is 'B'.

    In DABC,

    tan45o = (AC/BC) = (AC/30)

    Or, 1 = (AC/30)

    Or, AC = 30

    So, height of the tower = 30 metres

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