In a right triangle, the sine function goes by the pattern below:

In the triangle, the side opposite Angle G is the side EF that has a length of √86 units. On the other hand, the hypotenuse is side GE which has a length of 11 units.
Plugging those values into the formula above, we get:
![\sin G=(EF)/(EG)=\frac{\sqrt[]{86}}{11}](https://img.qammunity.org/2023/formulas/mathematics/college/6fb5z675twtmn55grfy15cl7rltccmzm4e.png)
Simplifying the resulting fraction using a calculator, we get:

Therefore, the value of sin G is 0.84 approximately.