Answer: B) 40 degrees
===============================================================
Step-by-step explanation:
There are three approaches we can take. Each approach uses a different column (sine, cosine, or tangent).
Let's go with the sine column. The sine ratio is opposite/hypotenuse.
For reference angle theta, the opposite sides is 8 meters. The hypotenuse is 12.5 meters. Dividing the two values gets us
opposite/hypotenuse = 8/12.5 = 0.64
While focusing on the sine column, we see that 0.64 isn't in there; however the value 0.6428 is fairly close to it. There's expected to be roundoff error somewhere. That value corresponds to theta = 40.
That must mean sin(40) = 0.6428 approximately is fairly close to 8/12.5 = 0.64
Or put another way,
sin(40) = 8/12.5 approximately