Final answer:
To calculate the length of AD, we need to know the relationship between points A, D, B, and E. Given only AE=2, without additional context or information, we cannot find the length of AD.
Step-by-step explanation:
To find the length of AD, we need to understand the relationship between the points A, D, B, and E. It appears that the points A, D, and E are on a line, with D between A and E, and point B is possibly unrelated without more context. Given DB = 3, AE = 2, and EC = 6, we want to find AD.
With AE being a part of AD, the length of AD can be determined by adding the lengths of AE and ED together. However, since ED is not given and cannot be inferred with the given information, we are unable to calculate the length of AD without additional data. The information about DB and EC does not help in this respect because they do not seem to be directly related to the line segment AD.
Therefore, to answer the question, more context or information about how these points and line segments are related is necessary. Without this, the problem does not provide enough data to find the length of AD.