Final answer:
Angle A, corresponding to cos A = 0.36, is found by using the inverse cosine function and is approximately 68.96 degrees when rounded to the nearest hundredth.
Step-by-step explanation:
To find angle A in degrees given that cos A = 0.36, we use the inverse cosine function, often denoted as cos-1 or arccos. By applying this function to 0.36, we can calculate the angle in degrees.
Angle A = cos-1(0.36).
Using a calculator, we find that angle A is approximately 68.96 degrees when rounded to the nearest hundredth.
Thus, the angle A that corresponds to cos A = 0.36 is about 68.96°.