Help ASAP! Can someone explain how?

Answer:
Step-by-step explanation:
cos theta is 5/13
so, adjacent=5 ,hypotenuse=13 and opposite=?
hypotenuse^2=adjacent^2+opposite^2
13^2=5^2+opposite^2
169-25=opposite^2
[tex]\sqrt{144}[/tex]=opposite
12=opposite
sin theta=opposite/hypotenuse
=12/13