A tower of height \( b \) subtends an angle at a point \( O \) on the ground level through the f....

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A tower of height \( b \) subtends an angle at a point \( O \) on the ground level through the foot of the tower
P
and at a distance \( a \) from the foot of the tower. A pole mounted on the top of the tower also subtends an equal angle at \( O \). The height of the pole is
(1) \( a\left(\frac{a^{2}-b^{2}}{a^{2}+b^{2}}\right) \)
(2) \( a\left(\frac{a^{2}+b^{2}}{a^{2}-b^{2}}\right) \)
(3) \( b\left(\frac{a^{2}-b^{2}}{a^{2}+b^{2}}\right) \)
(4) \( b\left(\frac{a^{2}+b^{2}}{a^{2}-b^{2}}\right) \)



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