
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 cross-section of a searchlight reflector is a part of a parabola, with the light source located at the focus of the parabola. Given that the diameter of the light aperture is 60 cm and the depth of the light is 40 cm, find the distance from the light source to the vertex of the parabola.

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