Question

Find the value of sinG rounded to the nearest hundredth, if necessary.

Answer 1

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

`\sin \theta=\frac{\text{opposite side}}{\text{hypotenuse}}`

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}`

Simplifying the resulting fraction using a calculator, we get:

`\sin G=0.84305\approx0.84`

Therefore, the value of sin G is 0.84 approximately.