A tower of height b subtends an angle at a point O on the level of the foot of the tower and at a distance a from the foot of the tower. If a pole mounted on the tower also subtends an equal angle at O, the height of the pole is [MP PET 1993, 2004]

\[a\,\left( \frac{{{a}^{2}}-{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}} \right)\]

\[b\,\left( \frac{{{a}^{2}}-{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}} \right)\]

\[b\,\left( \frac{{{a}^{2}}+{{b}^{2}}}{{{a}^{2}}-{{b}^{2}}} \right)\]

\[a\,\left( \frac{{{a}^{2}}+{{b}^{2}}}{{{a}^{2}}-{{b}^{2}}} \right)\]

A tower of height b subtends an angle at a point O on the level of the

1.	A tower of height b subtends an angle at a point O on the level of the foot of the tower and at a distance a from the foot of the tower. If a pole mounted on the tower also subtends an equal angle at O, the height of the pole is [MP PET 1993, 2004]
A.	\[b\,\left( \frac{{{a}^{2}}-{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}} \right)\]
B.	\[b\,\left( \frac{{{a}^{2}}+{{b}^{2}}}{{{a}^{2}}-{{b}^{2}}} \right)\]
C.	\[a\,\left( \frac{{{a}^{2}}-{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}} \right)\]
D.	\[a\,\left( \frac{{{a}^{2}}+{{b}^{2}}}{{{a}^{2}}-{{b}^{2}}} \right)\]
Answer» C. \[a\,\left( \frac{{{a}^{2}}-{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}} \right)\]

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A tower of height b subtends an angle at a point O on the level of the foot of the tower and at a distance a from the foot of the tower. If a pole mounted on the tower also subtends an equal angle at O, the height of the pole is [MP PET 1993, 2004]

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