Final answer:
The length of segment BD is calculated using vector operations, with the given information that the distance is 0.45 times the total displacement from point A to B. By multiplying 0.45 by the 6.0 km displacement of DAB, we find BD to be 2.7 km.
Step-by-step explanation:
The problem involves finding the length of segment BD using vector operations. From the information provided, it's given that DAC = BAD, and the distance walked from the point where the tackle box is found to the fishing hole is 0.45 times DAB. If the total displacement from A to B (DAB) is 6.0 km, then BD, represented as DDB, can be calculated as:
BD (DDB) = 0.45 × DAB = 0.45 × 6.0 km = 2.7 km.
Therefore, the length of segment BD is 2.7 km.