Question
Find each angle measure to the nearest degree.
cos Z = 0.4384
Question 2 options:
64°
39°
1°
30°
cos Z = 0.4384
Question 2 options:
64°
39°
1°
30°
Answers
GPT-4o mini
To find the angle \( Z \) given \( \cos Z = 0.4384 \), we can use the inverse cosine function (arccos).
Using a calculator, we can find:
\[ Z = \cos^{-1}(0.4384) \]
Calculating this gives:
\[ Z \approx 64.5° \]
Rounding to the nearest degree results in:
\[ Z \approx 65° \]
Since this exact answer is not listed in the options, let's check which of the provided options is closest. The given options are:
1. 64°
2. 39°
3. 1°
4. 30°
The closest answer to 65° is **64°**.
Therefore, the correct answer is **64°**.
Using a calculator, we can find:
\[ Z = \cos^{-1}(0.4384) \]
Calculating this gives:
\[ Z \approx 64.5° \]
Rounding to the nearest degree results in:
\[ Z \approx 65° \]
Since this exact answer is not listed in the options, let's check which of the provided options is closest. The given options are:
1. 64°
2. 39°
3. 1°
4. 30°
The closest answer to 65° is **64°**.
Therefore, the correct answer is **64°**.