
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 height of the step ladder is the sum of Bob's height plus the additional height he can reach when standing on the ladder. Since the ceiling is 3 meters above the floor, and Bob is changing a light bulb located 5 centimeters below the ceiling, we can calculate the distance from the floor to the light bulb as follows. The distance from the floor to the ceiling is 3 meters, which is equivalent to 300 centimeters, and subtracting 5 centimeters gives a total height of 295 centimeters from the floor to the light bulb. The distance from the floor to the light bulb is 295 centimeters and Bob can reach 170 centimeters above the top of his head. Therefore, the height of the step ladder needed to replace the light bulb is the difference between the height from the floor to the light bulb and the height Bob can reach: height of the step ladder = 295 - 170.

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