A road is tangent to a circular lake. Along the road and 12 miles from the point of tangency, another road opens toward the lake. From the intersection of the two roads to the periphery of the lake, the length of the new road is 11 miles. If the new road will be prolonged across the lake, find the length of the bridge to be constructed.

A. 2.09

B. 3.08

C. 4.06

D. 5.07