Hello!
When trying to find the sine of an angle, we can use the following formula:
sin B = [tex] \frac{opposite}{hypotenuse} [/tex]
In this case, we need to find the side opposite ∠B (which would be AC) and the hypotenuse (which would be BC). Now take the individual values of these two sides and insert them into the formula above:
sin B = [tex] \frac{(16)}{(17.46)} [/tex]
Reduce the fraction above to reach a value of 0.92. We have now proven that the approximate value of sin B is 0.92
The answer to this problem is B.
I hope this helps!