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Andrei [34K]
2 years ago
10

Helllppppp Asapppp.

Mathematics
1 answer:
S_A_V [24]2 years ago
3 0

Answer:

34.77°

Step-by-step explanation:

In a triangle with sides a, b, and c, the law of cosines tells us thatc^2=a^2+b^2-2ab\cos{C}, where C is the angle between sides a and b and across from side c. On this triangle, we can say a = 14, b = 11, c = 8, and C = m∠B; plugging these values in, we have

8^2=14^2+11^2-2(14)(11)\cos{B}\\

Simplifying this equation:

64=196+121-308\cos{B}\\64=317-308\cos{B}\\-253=-308\cos{B}\\253/308=\cos{B}

to unwrap this, we can put each side through the inverse cosine function:

\cos^{-1}{(253/308)}\cos^{-1}{(\cos{B})}\\34.77^{\circ}\approx B

And we have our result for m∠B.

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