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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

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 class=

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Medunno13

Answer: 8.2

Step-by-step explanation:

As angles in a triangle add to 180 degrees,

[tex]\angle A=180^{\circ}-121^{\circ}-31^{\circ}=28^{\circ}[/tex]

So, by the Law of Sines,

[tex]\frac{a}{\sin A}=\frac{b}{\sin B}\\\\a=\frac{b \sin A}{\sin B}\\\\a=\frac{9 \sin 28^{\circ}}{\sin 31^{\circ}}\\\\a \approx \boxed{8.2}[/tex]

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