On one bank of river there is a tree.on another bank,an observer makes an angle of elevation of 60degree at the top of the tree.the angle of elevation of the top of the tree at a distance 20m away from the bank is 30degree .the width of the river is
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Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
Let AB be the width of the river and BC be the tree of height h metres (say). Let D be the point 20 metres away from the bank of the river and let AB=x metres.
In ABC,
tan 60o = = h = x … (1)
In DBC,
tan 30o = … (2)
From (1) and (2),
x =
3x = x + 20
x = 10
Thus, the breadth of the river is 10 metres.