A vertical pole consists of two parts, the lower part being one third of the whole. At a point in the horizontal plane through the base of the pole and distance 20 meters from it, the upper part of the pole subtends an angle whose tangent is \[\frac{1}{2}\]. The possible heights of the pole are [IIT 1964]

A vertical pole consists of two parts, the lower part being one third

1.	A vertical pole consists of two parts, the lower part being one third of the whole. At a point in the horizontal plane through the base of the pole and distance 20 meters from it, the upper part of the pole subtends an angle whose tangent is \[\frac{1}{2}\]. The possible heights of the pole are [IIT 1964]
A.	20 m and \[20\sqrt{3}\,m\]
B.	20 m and 60 m
C.	16 m and 48 m
D.	None of these
Answer» C. 16 m and 48 m

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