Find the missing value to the nearest hundredth.
sin ___ = seven over twelve
A. 35.69°
B. 30.26°
C. 80.16°
D. 54.31°
AAAaannndd the bot gets it wrong yet again!
sin 54.31° = 0.812
7/12 = 0.5833
we know sin30° = 0.5, so 54.31° is obviously wrong.
The answer is D. 54.31°.
To find the missing angle, we need to use the inverse sine function (sin^-1) on both sides of the equation:
sin^-1(sin ___) = sin^-1(7/12)
The inverse sine function undoes the sine function, so we are left with:
___ = sin^-1(7/12)
Using a calculator, we can find that sin^-1(7/12) is approximately 54.31°, which is closest to option D.