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Q.

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is  600 and when he retires 40 meters away from the tree the angle of elevation becomes 300 . The breadth of the river is 

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a

60 m

b

30 m

c

40 m

d

20 m

answer is D.

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Detailed Solution

Question Image            
In right  ΔQTR
tan600=yxy=3x                           ……………… (i)
In right  ΔPTR
 tan300=yx+40y=x+403           …………….. (ii)
From (i) and (ii),   3x=x+403x=20m
 

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