Verified Answer :

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\(sine=\dfrac{opposite}{hypotenuse}\\\\\text{We have:}\\\\opposite=8\\hypotenuse=17\\\\\text{Substitute:}\\\\\boxed{\sin C=\dfrac{8}{17}}\)

The value of sinC is 8/17 and this can be determined by using the trigonometric function and the given data.

Given :

  • Right angle triangle ABC
  • AB = 8
  • BC = 15
  • CA = 17

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:

\(\rm sin\; \theta=\dfrac{P}{H}\)

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.

\(\rm sinC = \dfrac{BA}{CA}\)

\(\rm sinC = \dfrac{8}{17}\)

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/17081568

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