A tower of height b substends an angle at a point O on the leavel of the foot of the tower and at a distance a from the foot of the tower. If a pole mounted on the lower also subtends an equal angle at O, the height of the pole is

Options

A. `b((a^(2)-b^(2))/(a ^(2)+ b ^(2)))`
B. `b((a ^(2)+ b ^(2))/(a ^(2)-b ^(2)))`
C. `a((a ^(2)-b ^(2))/(a ^(2)+b^(2)))`
D. `a((a ^(2)+b^(2))/(a ^(2)-b^(2)))`

Answer

B