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    Question

    From a watch tower of 150 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 2 Correct Answer Incorrect Answer
    B 3 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D 1 Correct Answer Incorrect Answer

    Solution

    In triangle ABC- Tan45 150/AC AC =150m Now – Tan30 =150/AD 1/√3 =150/AD AD=150√3. Distance between the cliffs = AD=AC+CD 150√3 =150+CD CD=150√3-150 =150(√3-1) m

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