
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 $\tan J$ in the right triangle shown below.

[asy]

pair J,I,K;

J = (0,0);

K = (24,0);

I = (0,10);

draw(I--K--J--I);

draw(rightanglemark(I,J,K,20));

label("$J$",J,SW);

label("$K$",K,SE);

label("$I$",I,N);

label("$26$",(I+K)/2,NE);

label("$24$",K/2,S);

[/asy]

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