Isosceles triangle \triangle ABC has equal side lengths AB and BC. In the figures below, segments are drawn parallel to \overline{AC} so that the shaded portions of \triangle ABC have the same area. The heights of the two unshaded portions are 11 and 5 units, respectively. What is the height h of \triangle ABC?
Answer Choices
A. 14.6
B. 14.8
C. 15
D. 15.2
E. 15.2