[tex]sine=\dfrac{opposite}{hypotenuse}\\\\\text{We have:}\\\\opposite=8\\hypotenuse=17\\\\\text{Substitute:}\\\\\boxed{\sin C=\dfrac{8}{17}}[/tex]
The value of sinC is 8/17 and this can be determined by using the trigonometric function and the given data.
Given :
The following steps can be used in order to determine the value of (sin C):
Step 1 - One of the most important trigonometric function is sine. Sine is the ratio of the opposite side of the angle to the hypotenuse.
Step 2 - The mathematical expression of sine is given by:
[tex]\rm sin\; \theta=\dfrac{P}{H}[/tex]
where P is the perpendicular and H is the hypotenuse.
Step 3 - Substitute the value of P that is BA and the value of H that is CA in the above formula.
[tex]\rm sinC = \dfrac{BA}{CA}[/tex]
[tex]\rm sinC = \dfrac{8}{17}[/tex]
Therefore, the correct option is A).
For more information, refer to the link given below:
https://brainly.com/question/17081568
