Use a calculator to find the acute angle θ , to the nearest degree, that satisfies the equation.
-sin θ = 0.2

Question

Quizplus · Accepted Answer

Using a calculator, we can take the inverse sine of 0.2 to get the angle in radians:
sin^-1(0.2) ≈ 0.2014 radians
To convert this to degrees, we can multiply by 180/π:
0.2014 * 180/π ≈ 11.54 degrees
Rounding to the nearest degree gives 12 degrees, which is closest to option B. Use the inverse sine function (sin⁻¹) on 0.2 to find the angle in radians, then convert to degrees and round to the nearest degree.

sin⁻¹(0.2) ≈ 0.2014 radians
To convert to degrees: 0.2014 × 180/π ≈ 11.5 degrees
Rounding to the nearest degree: 11 degrees

Choice B is the only answer that is 11 degrees.

Use a Calculator to Find the Acute Angle θ