
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. On a clear day, Alice, looking due north from her house, sees an airplane. Simultaneously, Bob, looking due west, spots the same airplane. The angles of elevation to the airplane are 30° from Alice's position and 45° from Bob's position. What is the approximate altitude of the airplane, in miles?
**A)** 6.5 miles
**B)** 6.7 miles
**C)** 6.9 miles
**D)** 7.1 miles
**E)** 7.3 miles

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