A and B are acute angles such that cosA =3 over 5 and cosB =12 over 13

To find the values of angles A and B, we can use the inverse cosine function (also known as arccosine or acos).

Step 1: Calculate angle A
Since cosA = 3/5, we need to find the inverse cosine of 3/5.
A = acos(3/5)
Using a calculator, we can find the value of angle A, which is approximately 53.13 degrees.

Step 2: Calculate angle B
Similarly, since cosB = 12/13, we need to find the inverse cosine of 12/13.
B = acos(12/13)
Using a calculator again, we can find the value of angle B, which is approximately 22.62 degrees.

Therefore, angle A is approximately 53.13 degrees, and angle B is approximately 22.62 degrees.