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A man on a cliff observes a boat at an angle of depression of 30? 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?. Find the total time taken by the boat to reach the shore.


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


and



equating equation 1 and 2 we get, 


Time taken is 3 minutes


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