Hello!
Let's quickly review our trigonometric ratios.
Sin= Opposite/Hypotenuse
Cos= Adjacent/Hypotenuse
Tan= Opposite/ Adjacent
Let's find these for angle G.
Opposite:15
Adjacent: 8
Hypotenuse: 17
First of all, we have sin G= 8/15. The adjacent side is 8, which is not the opposite or hypotenuse, so A is incorrect.
We have cos G= 8/15. That is the adjacent divided by the opposite, not adjacent over hypotenuse, so B is incorrect.
Finally, we have sin G= 15/17. This is the opposite divided by the hypotenuse, so it is correct.
Therefore, our answer is
.
I hope this helps!