The angle of elevation of the top of an unfinished pillar at a point 150m from its base is 30 deg If...........

Quantitative Aptitude (CGL) Height and Distance

The angle of elevation of the top of an unfinished pillar at a point 150m from its base is 30°. If the angle of elevation at the same point is to be 45°, then the pillar has to be raised to a height of how many meters?

59.4m

61.4m

62.4m

63.4m

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Explanation:

In ∠ACB=30° and ∠DCB=45°

Then, AD = ?
In ?ABC,tan30°=AB/BC
=> 13–√=AB/150
∴ AB=86.6m
In ?DBC,tan45°=DB/BC
=> 1=AD+AB/BC
=> BC = AD + 86.6
=> 150 - 86.6 = AD
Therefore, AD = 63.4 m