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vodomira [7]
3 years ago
8

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

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
5 0

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)

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