The angles of elevation of the top of a tower from the top and bottom at a building of height a are\[{{30}^{o}}\]and\[{{45}^{o}}\]respectively. If the tower and the building stand at the same level, then the height of the tower is [Karnataka CET 2000]

\[\frac{a\sqrt{3}}{\sqrt{3}-1}\]

The angles of elevation of the top of a tower from the top and bot

1.	The angles of elevation of the top of a tower from the top and bottom at a building of height a are\[{{30}^{o}}\]and\[{{45}^{o}}\]respectively. If the tower and the building stand at the same level, then the height of the tower is [Karnataka CET 2000]
A.	\[a\sqrt{3}\]
B.	\[\frac{a\sqrt{3}}{\sqrt{3}-1}\]
C.	\[\frac{a\,(3+\sqrt{3})}{2}\]
D.	\[a\,(\sqrt{3}-1)\]
Answer» D. \[a\,(\sqrt{3}-1)\]

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The angles of elevation of the top of a tower from the top and bottom at a building of height a are\[{{30}^{o}}\]and\[{{45}^{o}}\]respectively. If the tower and the building stand at the same level, then the height of the tower is [Karnataka CET 2000]

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