
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
Coralee needs to travel from city $D$ to city $E$, then from $E$ to city $F$, and finally from $F$ back to $D$. The cities form a right-angled triangle, with $D$ a distance of 2800 km from $F$ and $E$ a distance of 2900 km from $F$. The cost to take a bus is $\$0.20$ per kilometer, and to take an airplane, it costs a $\$120$ booking fee plus $\$0.12$ per kilometer.

Coralee chooses the least expensive way to travel between cities. What is the total cost of her trip?

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