Answer:
31.6°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the trig function relating the sides opposite and adjacent an acute angle in a right triangle. It tells you ...
Tan = Opposite/Adjacent
__
The tangent of angle B is ...
tan(B) = AC/CB
tan(B) = 28.2/45.8
The angle is found from the tangent using the inverse tangent function.
B = arctan(28.2/45.8) ≈ 31.621°
The measure of angle B is about 31.6°.
