adjacent=9.2mm hypotenuse=13.9mm what is angle ≺CAB?

Answer 1

cos of any angle in triangle = adjacent side / hypotenuse

In this case;

cos ≺CAB = 9.2 / 13.9 = 0.6618705036

≺CAB = cos ⁻ ¹ ( 0.6618705036 )

≺CAB = 48° 33' 26"

cos ⁻ ¹ is otherwise called arcus cosine so you can write:

≺CAB = arccos ( 0.6618705036 )

≺CAB = 48° 33' 26"