Respuesta :

Answer:

49.03 degrees

Step-by-step explanation:

c = 49, [tex]\alpha[/tex] = 41

We can solve for [tex]\beta[/tex] if we first find b.

Remember: SOH CAH TOA

Cosine = Adj/Hypotenuse

So, Cos (41) = b/49

49 x (Cos 41) = b

49 x .755 = b

b = 36.99

sin [tex]\beta[/tex] = Opp/Hyp = b/49 = 36.99/49 = .755

β = inverse sin (.755) = 49.03°    (Inverse sin is designated by sin⁻¹ on your calculator)