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    Question

    From a watch tower of 200 m height, the angles of

    depression of two cliffs in a horizontal line through the base of the tower are 45° and 30°. Find the distance between the cliffs if they are on the same side.
    A 1 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 4 Correct Answer Incorrect Answer

    Solution

    In triangle ABC- Tan45 =200/AC AC =200m Now – Tan30 =200/AD 1/√3 =200/AD AD=200√3. Distance between the cliffs = AD=AC+CD 200√3 =200+CD CD=200√3-200 =200(√3-1) m

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