
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
Given a right triangle $ABC$ with $AB = 4$ units, $AC = 3$ units, and $BC = 5$ units, where $C$ is the right angle. A segment moves from point $A$ to point $C$ inside the triangle. Its length $l(x)$ at a distance $x$ from $A$ along $AC$ is defined by the distance from a point on $AC$ to the hypotenuse $BC$. Determine the expression for $l(x)$ and find $l(1.5)$.
A) 2.5 units
B) 2.8 units
C) 3.3 units
D) 3.5 units

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