In Exercises 55–58, use a calculator to find the value of the acute angle θ to the nearest degree. sin θ = 0.2974

Hello, everyone. We are asked to determine the value of the acute angle alpha. By using a calculator, we are going to round the nearest degree we are given sine alpha equals 0.5398. Our answer choices are a 24 degrees B degrees C 33 degrees D degrees. So first, in the problem, we are told we went around to the nearest degree. So make sure that your calculator is in degree mode. It will make a difference. Next thinking about sine alpha equal 0.5398, we are not going to put this in as the sign of 0.5398. So this does not equal the sign of 0.5398. What we need to use is the inverse sign. So on most calculators, this would be written as sign raised to the negative first power and then you can type in 0.5398. And when you do, so we get something close to 32.67 and it does continue. However, if we want to round to the nearest degree, this would round to 33 degrees. So 33 degrees is our answer and it is answer choice c have a nice day.

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In Exercises 55–58, use a calculator to find the value of the acute angle θ to the nearest degree. sin θ = 0.2974