In \triangle A B C with a right angle at C, point D lies in the interior of \overline{A B} and point E lies in the interior of \overline{B C} so that A C=C D, D E=E B, and the ratio A C: D E=4: 3. What is the ratio A D: D B ?
Answer Choices
A. 2: 3
B. 2: \sqrt{5}
C. 1: 1
D. 3: \sqrt{5}
E. 3: 2