Question

Can someone help me with this

The measure of angle B = 31 degrees, measure of angle C = 121 degrees, and b = 9. Then a =
nearest tenth.
to the

Answer 1

Answer: 8.2

Explanation:

As angles in a triangle add to 180 degrees,

`\angle A=180^(\circ)-121^(\circ)-31^(\circ)=28^(\circ)`

So, by the Law of Sines,

`(a)/(\sin A)=(b)/(\sin B)\\\\a=(b \sin A)/(\sin B)\\\\a=(9 \sin 28^(\circ))/(\sin 31^(\circ))\\\\a \approx \boxed{8.2}`