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

Hurry help I don't understand-example-1
User Bluemarble
by
7.6k 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
8.7k 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
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories