Question

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

Answer 1

49.03 degrees

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)