A tower of height b subtends an angle at a point 0 on the ground level through the foot of the tower 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 0. 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