On walking 120 m towards a Chimney in a horizontal line through its base the angle of elevation of t...........

Quantitative Aptitude (CGL) Height and Distance

On walking 120 m towards a Chimney in a horizontal line through its base the angle of elevation of tip of the chimney changes from 30° to 45°. The height of the chimney is

50(3 + v3)

100(√3 + 1)

150

100√3

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Explanation:

Let h be the height of the chimney
In ?BPC,
tan45°=h/x=1h=x ...(i)
tan30°=h/120+x=1/√3
=> h/120+h=1/√3
=> √3h=120+h
=> h=120/√3−1 × √3+1/√3+1=120(√3+1)/2
Therefore, Required height of chimney
(h)=60(√3+1)m