
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
A person traveling in a balloon notices an object on the ground that lies directly south of them and observes that the angle of depression (the angle between the line drawn from the person to the object and the horizontal plane passing through the person) is $35^{\circ} 30^{\prime}$. The balloon travels 2500 meters east while maintaining the same altitude, at which point the angle of depression to the object is $23^{\circ} 14^{\prime}$. How high is the balloon floating?

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