
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
Ajay is located at point $A$ which is positioned at $0^\circ$ latitude and $100^\circ \text{ E}$ longitude. Christine is at point $C$ which is positioned at an elevation of 2000 meters directly above the Earth's surface at the North Pole. Assume that the Earth is a perfect sphere with a radius of 6400 km (ignoring the elevation for the surface calculation). What is the degree measure of $\angle BAC$ where $B$ is $30^\circ \text{ N}$ latitude and $90^\circ \text{ W}$ longitude?

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