Answer: [tex]sinC=0.22[/tex]
Step-by-step explanation:
For this exercise you need to use the following Trigonometric Identity:
[tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]
In this case,given the rigth triangle ABC , you can identify that:
[tex]\alpha=C\\opposite=AB=18\\hypotenuse=AC=82[/tex]
So, knowing these values, you can substitute them into [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex] and then evaluate.
Then, you get:
[tex]sinC=\frac{18}{82}\\\\sinC=0.219[/tex]
Finally, rounding to the nearest hundreth, you get:
[tex]sinC=0.22[/tex]
