In a right triangle, the sine function goes by the pattern below:
[tex]\sin \theta=\frac{\text{opposite side}}{\text{hypotenuse}}[/tex]
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:
[tex]\sin G=\frac{EF}{EG}=\frac{\sqrt[]{86}}{11}[/tex]
Simplifying the resulting fraction using a calculator, we get:
[tex]\sin G=0.84305\approx0.84[/tex]
Therefore, the value of sin G is 0.84 approximately.
