
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
The ship is sailing east at a speed of $15km$ per hour. The ship sees a lighthouse $(B)$ at a bearing of north-east $60^{\circ}$ from point $(A)$. After sailing for $4h$, the ship reaches point $(C)$ and sees the lighthouse at a bearing of north-east $15^{\circ}$. Find the distance between the ship and the lighthouse at this time.

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