The distance between two pillars is 120 metres The height of one pillar is thrice the other The angl...........

Quantitative Aptitude (CGL) Height and Distance

The distance between two pillars is 120 metres. The height of one pillar is thrice the other. The angles of elevation of their tops from the midpoint of the line connecting their feet are complementary to each other. The height (in metres) of the taller pillar is (Use : v3 = 1.732)

34.64

51.96

69.28

103.92

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Explanation:

?ABP tanθ=x/60.....(i)
?BCQ tan(90−θ)=3x/60
cotθ=3x/60......(ii)
tanθ.cotθ=x/60. 3x/60
1=x^(260×20)
x=20√3=20×1.732=39364
hight of big piller = 3x
=3×3.469=103.92