
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
Source: 1976 Euclid Part B Problem 1
-----
Triangle  $ABC$  has  $\angle{B}=30^{\circ}$ ,  $AB=150$ , and  $AC=50\sqrt{3}$ . Determine the length of  $BC$ .

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