Question

I need help finding the value of for the trigonometric ratio.

Answer 1

`C)\:(15)/(17)`

1) As we can see, this is a right triangle. So, we can tell that the sine of angle A is:

`\begin{gathered} \sin(A)=(opposite\;leg\:to\:angle\:A)/(hypotenuse) \\ \\ \sin(A)=(30)/(34)\:\:Simplify\:it \\ \\ \sin(A)=(15)/(17) \end{gathered}`

Note that we need to simplify that whenever possible. Thus, the answer is :

`(15)/(17)`