
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
Find $\tan G$ in the right triangle shown below.

[asy]
pair H,F,G;
H = (0,0);
G = (18,0);
F = (0,24);
draw(F--G--H--F);
draw(rightanglemark(F,H,G,20));
label("$H$",H,SW);
label("$G$",G,SE);
label("$F$",F,N);
label("$30$",(F+G)/2,NE);  // Changed the hypotenuse length to a suitable number
label("$18$",G/2,S);  // Changed the base length
[/asy]

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