Given cos A = 0.25, find angle A in degrees. Round your answer to the nearest hundredth.

Question

(1 point)
Responses

34.12°
34.12°

56.78°
56.78°

75.52°
75.52°

123.98°
123.98°

Answer 1

To find angle A such that \(\cos A = 0.25\), you can use the inverse cosine function (also known as arccos).

Calculating:

\[ A = \cos^{-1}(0.25) \]

Using a calculator, you will find:

\[ A \approx 75.52° \]

Thus, the angle A, rounded to the nearest hundredth, is:

75.52°