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Q.

Two vertical poles are 150 meters apart and the height of one is three times that of the other If from the middle point of the line joining their feet, an observer finds the angles of elevation of their tops to be complimentarythen the height of the shorter pole is

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a

203

b

25

c

30

d

253

answer is D.

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We have tanθ=h75=753h⇒  h2=7523⇒h=253m
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Two vertical poles are 150 meters apart and the height of one is three times that of the other If from the middle point of the line joining their feet, an observer finds the angles of elevation of their tops to be complimentarythen the height of the shorter pole is