A person standing on the bank of 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. Then the breadth of the river is

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20 m

30 m

40 m

60 m

answer is A.

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Detailed Solution

tan⁡30∘=h40+b⇒3h=40+b,tan⁡60∘=hb⇒h=3b∴40+b=60⇒b=20

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