
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 altitudes of a triangle are $10, 12,$ and $15.$ Find the smallest angle in this triangle.
A) $\cos^{-1}\left(\frac{9}{40}\right)^\circ$
B) $75^\circ$
C) $90^\circ$
D) $45^\circ$
E) $60^\circ$

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