ANSWER
[tex] \tan(F) = \frac{12}{5} [/tex]
EXPLANATION
The tangent ratio is the ratio of the side length of the triangle that is opposite to angle F expressed over the side length adjacent to angle F.
This implies that
[tex] \tan(F) = \frac{opposite}{adjacent} [/tex]
The side length adjacent to angle F is 5 units.
The side length opposite to angle F is 12 units.
Hence,
[tex] \tan(F) = \frac{12}{5} [/tex]
