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    Question

    From the top of hill which is 200m high the angle of

    depression of the top and the bottom of a pole are 300 and 600 respectively. Find the height of pole and its distance from the hill.
    A 139.33m Correct Answer Incorrect Answer
    B 103.33m Correct Answer Incorrect Answer
    C 123.33m Correct Answer Incorrect Answer
    D 133.33m Correct Answer Incorrect Answer

    Solution

    Let CE is a pole of height h meter. AD is a hill of height 200m. Let distance between bottom of hill to pole = x m. According to question тИаXAC=300=тИаCB and тИаXAE=600=тИаAED From right angled ╬ФADE tan 600=AD/DE тИЪ81=(200/x) X = (200/тИЪ3) m From right angled ╬ФABC Tan300 = (AB/BC) = (ABтИТBD)/x (1/тИЪ3)= (200тИТh)/x X = тИЪ3(200тИТh) (200/тИЪ3)= тИЪ3(200тИТh) (200/3) = (200тИТh) h = 200тИТ(200/3) = (600тИТ200)/3 = 400/3 = 133.33m Hence, height of pole =133.33m

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