The angle of elevation of the top of a tower from a point A on the ground is 30 deg On moving a dist...........

Quantitative Aptitude (CGL) Mensuration 3D

The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60°. The height of the tower in meters is-

√3

5√3

10√3

20√3

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Explanation:

In Triangle ABC,
tan60= h/x; => h = √3 x;
In Triangle ABD,
tan30= h/(x+20); => √3h= x + 20;
Put the value of h in the above equation-
3x = x + 20; => x =10 metres;
Hence, the height of tower = 10√3 metres;