A man on cliff observes a boat at an angle of depression of 30 degree which is approaching the shore to the point immediately beneath the observer with a uniform speed. Six minutes later , the angle of depression of the boat is found to be 60 degree . Find the total time taken by the boat to reach the shore .

Let the uniform speed be x and the distance to be travelled by the boat to reach the soar is y


equating equation (1) and (2), we get,

Hence, the time taken to reach the soar is 3 minute

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