
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 trapezoid \(ABCD\), the side \(AB\) is perpendicular to the base \(BC\). A circle passes through points \(C\) and \(D\) and is tangent to line \(AB\) at point \(E\).

Find the distance from point \(E\) to line \(CD\), if \(AD = 4\) and \(BC = 3\).

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