Respuesta :

sinC=(8/17)
solve for C = arcsin(8/17)

Answer:

[tex]sin \:C =\frac{8}{17}[/tex]

Step-by-step explanation:

In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse.

[tex]sin \:x =\frac{O}{H}[/tex]

From the formula above we know that the sine of an angle is the opposite side divided by the hypotenuse. The opposite side is AB and has a length of 8. The hypotenuse is AC with a length of 17. So we can write

[tex]sin \:C =\frac{8}{17}[/tex]