Question

PLEASE HELP !! c = 49 cm, a = 41°. Find B in degrees. Round to 2 decimal places.​

Answer 1

Answer:

49.03 degrees

Step-by-step explanation:

c = 49, $\alpha$ = 41

We can solve for $\beta$ 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 $\beta$ = Opp/Hyp = b/49 = 36.99/49 = .755

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