
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
Let $ABC$ be an acute triangle with sides $a$, $b$, and $c$ opposite to angles $A$, $B$, and $C$ respectively, and $a=2b\sin A$.

(Ⅰ) Find the magnitude of angle $B$.

(Ⅱ) If $a=3\sqrt{3}$ and $c=5$, find $b$.

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