
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 telephone pole is supported by a steel cable which extends from the top of the pole to a point on the ground 5 meters from its base. When Leah walks 3 meters from the base of the pole toward the point where the cable is attached to the ground, her head just touches the cable. Leah is 1.6 meters tall. How many meters tall is the telephone pole?

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