Answer:
Step-by-step explanation:
We are given value of sine trigonometric ratio = 0.9123.
We need to find the angle in degrees whose measure has a sine of 0.9123.
So, we need to find the value of [tex]sin^{-1}(0.9123)[/tex].
On plugging [tex]sin^{-1}(0.9123)[/tex] in calculator, we get
65.82°.
Now, we need to round it to the nearest whole degree.
Therefore, 65.82°≈ 66°.