9514 1404 393
Answer:
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, so there are two solutions.
Angle B can be found from the law of sines as ...
B = arcsin(b/a·sin(A)) = arcsin(1.25·sin(35°)) ≈ arcsin(0.716971)
B ≈ 45.8° or 134.2°
This means angle C is 180° -35° -45.8° = 10.8°
Then the side c is ...
c = a·sin(C)/sin(A)
c = 8·sin(10.8°)/sin(35°) ≈ 2.6 . . . units
or ...
c = 8·sin(99.2°)/sin(35°) ≈ 13.8 . . . units
