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    Question

    From the top of a cliff 100 meter high, the angles of

    depression of the top and bottom of a tower are 45┬░ and 60┬░ respectively. The height of the tower is
    A A Correct Answer Incorrect Answer
    B B Correct Answer Incorrect Answer
    C C Correct Answer Incorrect Answer
    D D Correct Answer Incorrect Answer

    Solution

    Let height of tower, be x in тИЖAEC => tan 45┬░ = AE / CE => 1 = (100 тАУ x) / CE => CE = 100-x тИЖABD tan 60┬░ = AB / BD => тИЪ3 = 100 / CE (CE = BD) => (100 тАУ x) ├Ч тИЪ3 = 100 => 100 тАУ x = (100 / тИЪ3) => x = 100 тАУ 100 / тИЪ3 => x = 100 (1 тАУ 1 / 100 / тИЪ3) => x = 100/ 3 (3 тАУ тИЪ3)

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