
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 distance from a point on the horizontal plane to the base of a TV tower is 100 meters. From this point, the tower is visible (from the base to the top) at an angle of $46^{\circ}$. Without using tables, calculators, or other computing devices, determine which is greater: the height of the tower or 103.3 meters?

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