ANSWER
The correct answer is C.
EXPLANATION
The given right triangle has the length of the hypotenuse to be 73 units and the side opposite angle C is 55 units.
Recall that,
[tex] \sin(C) = \frac{opposite}{hypotenuse} [/tex]
We substitute the values into the ratio to get,
[tex] \sin(C) = \frac{55}{73} [/tex]
[tex]C= \sin^{ - 1} ( \frac{55}{73} )[/tex]
[tex]C=48.89 \degree[/tex]
to the nearest hundredth.