Answer:
12/5
Step-by-step explanation:
tan A = opp/adj
For angle theta, 12 is the opposite leg.
13 is the hypotenuse.
We were not given the length of the adjacent leg, but we can use the Pythagorean theorem to find it.
a^2 + b^2 = c^2
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
a = 25
The adjacent leg has a length of 5.
tan theta = opp/adj
tan theta = 12/5
Answer: 12/5
