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blsea [12.9K]
3 years ago
5

Hurry help I don't understand

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
7 0
By sine law
sin45/16.5= sinB'/22
sinB'= sqrt2/2/16.5*22=
B'= 70.5
B=180-70.5=109.5
densk [106]3 years ago
5 0
Sin(A) / a = sin(B') / b'
where a is the side opposite to the angle A and B is the side opposite to the angle B'. So

sin(45)/16.5 = sin(B')/22
B' = 70.53

However, notice that B' in your triangle is an obtuse angle, so you also need to know the property of sine

sin(B') = sin(180 - B') 
So another B' that can work is: 
sin(70.53) = sin(180 - 70.53)
sin(70.53) = sin(109.47) 
So B' = 109.47. 
It seems that the closest one in your answer is 109.95 so I think out of elimination, B is your answer.
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