Answer:
C. tanS = 5/12, tanT = 12/5
Explanation:
Tangent has NOTHING to do with hypotenuse, do we can easily eliminate answer choices involving 13, the hypotenuse. For angle S, the opposite side measures 5 and the adjacent side measures 12. For angle T, the opposite side measures 12 and the adjacent side measures 5. See this below algebraically
tanθ = opp/adj
tanS = 5/12
tanT = 12/5
I hope this helps!