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    Question

    The angle of depression from the top of a light-house

    of two boats are 60┬░ and 30┬░ towards the west, if the two boats are 60m apart, then the height of the light house is
    A 20тИЪ2 m Correct Answer Incorrect Answer
    B 30тИЪ3 m Correct Answer Incorrect Answer
    C 40тИЪ3 m Correct Answer Incorrect Answer
    D 50тИЪ3 m Correct Answer Incorrect Answer

    Solution

    D = h (cotA - cotB) Here (h = height of light house) D = AB = 60 60 = h (cot30┬░ - cot60┬░) 60 = h (тИЪ3-1/тИЪ3) 60 = h ((3-1)/тИЪ3) 2h/тИЪ3 = 60 m ┬а ┬а ┬а ┬а h = 60 ├Ч тИЪ3/2┬а = 30тИЪ3 m So height of the tower is = 30тИЪ3 m

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