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°

Answer 1

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

Calculating:

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

Using a calculator:

\[ A \approx 75.52^\circ \]

So, the correct response is:

75.52°