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solniwko [45]
4 years ago
5

Consider triangle ABC with M < C= 65, b = 5 and c = 6. Which option lists an expression that is equivalent to m <B?

Mathematics
1 answer:
tiny-mole [99]4 years ago
3 0
Given:
m∠C = 65°
b = 5
c = 6

Apply the Law of Sines.
sin(B)/b = sin(C)/c
sin(B)/5 = sin(65)/6
sin(B) = (5*sin(65))/6 = 0.7553
B = arcsin(0.7553) = 49.05°

Answer: m∠B = arcsin(0.7553) = 49° (approx)
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