A vertical pole (more than 100 m high) consists of two portions, the lower being one-third of the whole. If the upper portion subtends an angle \[{{\tan }^{-1}}\frac{1}{2}\] at a point in a horizontal plane through the foot of the pole and distance 40 ft from it, then the height of the pole is [AMU 1981]

A vertical pole (more than 100 m high) consists of two portions, the l

1.	A vertical pole (more than 100 m high) consists of two portions, the lower being one-third of the whole. If the upper portion subtends an angle \[{{\tan }^{-1}}\frac{1}{2}\] at a point in a horizontal plane through the foot of the pole and distance 40 ft from it, then the height of the pole is [AMU 1981]
A.	100 ft
B.	120 ft
C.	150 ft
D.	None of these
Answer» C. 150 ft

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