The angular depressions of the top and the foot of a chimney as seen from the top of a second chimney, which is 150 m high and standing on the same level as the first are \[\theta \] and \[\varphi \] respectively, then the distance between their tops when \[\tan \theta =\frac{4}{3}\]and \[\tan \varphi =\frac{5}{2}\], is [Pb. CET 2004; IIT 1965]

The angular depressions of the top and the foot of a chimney as seen f

1.	The angular depressions of the top and the foot of a chimney as seen from the top of a second chimney, which is 150 m high and standing on the same level as the first are \[\theta \] and \[\varphi \] respectively, then the distance between their tops when \[\tan \theta =\frac{4}{3}\]and \[\tan \varphi =\frac{5}{2}\], is [Pb. CET 2004; IIT 1965]
A.	\[\frac{150}{\sqrt{3}}metres\]
B.	\[100\sqrt{3}metres\]
C.	\[150metres\]
D.	\[100metres\]
Answer» E.

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