
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
In the city of $A$ on the Earth's southern hemisphere and its mirror image on the plane of the Equator, there are two towers. The two towers are of equal height. At noon on May 2nd, when the Sun's rays make an angle of $15^{\circ}$ with the plane of the Equator, the shadow of the tower in $A$ is 3 times as long as the shadow of the tower in $B$. Both shadows were measured on a horizontal plane. Where could city $A$ be located?

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