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Oksanka [162]
3 years ago
11

Find angle B. What is angle B.

Mathematics
1 answer:
julsineya [31]3 years ago
7 0

Answer:

B=45 Degrees

Step-by-step explanation:

You can use law of sines to answer. Law of Sines states that \frac{sin(a)}{A} =\frac{sin(b)}{B}. That means that \frac{sin(60)}{4\sqrt{6} }=\frac{sin(b)}{8}. Multiplying 8 to both sides gives us \frac{8sin(60)}{4\sqrt{6} }=sin(b). By using inverse of sin, we get b =  sin^{-1} (\frac{8sin(60)}{4\sqrt{6} } ). Plugging that into a calculator gives us b=45 degrees.

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