51.2k views
5 votes
Hurry help I don't understand

Hurry help I don't understand-example-1
User Bluemarble
by
6.3k points

2 Answers

6 votes
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.
User Sergei Klinov
by
6.8k points
5 votes
By sine law
sin45/16.5= sinB'/22
sinB'= sqrt2/2/16.5*22=
B'= 70.5
B=180-70.5=109.5
User Dwoodard
by
6.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.