WILL MARK THE BRAINIEST PLZ HELP NOW!!! LOTS OF POINTS Determine how many solutions there are and if there are solutions solve f

Question

3 years ago

6

or angle B. a) a=9, b=11 and A= 61 degrees b) a=25, b= 28 and A= 43 degrees.

1 answer:

harina [27] · Answer 1 · 2022-07-16T02:18:15+03:00

<h3>Answer:</h3>

a) no solutions

b) B = 49.8° or 130.2°

<h3>Explanation:</h3>

a) By the law of sines, ...

... sin(B)/b = sin(A)/a

... sin(B) = b·sin(A)/a = (11/9)·sin(61°) = 1.069 . . . . . not realizable

there is no solution

b) As before, ...

... sin(B) = (28/25)·sin(43°) ≈ 0.763838...

... B = arcsin(0.763838...) ≈ 49.80°

The side length b is longer than the side length a, so there will be two solutions. The other angle for B is the supplement to this one:

... B = 180° -49.8° = 130.2°