
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
On the sides  $BC$  and  $CD$  of the square  $ABCD$  of side  $1$ , are chosen the points  $E$ , respectively  $F$ , so that  $<$   $EAB$   $=$   $20$  If  $<$   $EAF$   $=$   $45$ , calculate the distance from point  $A$  to the line  $EF$ .

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