
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
Alice and Bob live $8$ miles apart. One day Alice looks due north from her house and sees an airplane at an angle of elevation of $45^\circ$. At the same time, Bob looks due west from his house and sees the same airplane at an angle of elevation of $30^\circ$. What is the altitude of the airplane, in miles?
A) 4.5 miles
B) 5 miles
C) 5.33 miles
D) 6 miles
E) 6.5 miles

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