
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
On the ground, an angle $\angle BDA$ of $60^\circ$ is drawn. A person starts from the vertex D, walks 10 meters along side DA, turns and walks another 14 meters in another direction, and exactly reaches another side BD of $\angle BDA$ at point B. Then, the distance between point B and D is ____ meters.

Present the answer in LaTex format: \boxed{Your answer}
user