Question

~*~*~help!!! metal!!! 10 points!!! ~*~*~

Use the Law of Sines. Find measure C to the nearest tenth. (image below)

Answer 1

@misty1212 @DaBest21 @eninone

Answer 2

\[Sine\ law \ for\ a\ \triangle\ ABC \ is \\ \frac{ BC }{ \sin A }=\frac{ AB }{ \sin C}=\frac{ AC }{ \sin B }\\ look\ at \ the \ given \ fig.\ BC= 45\ and\ AB = 99\\ \angle A=24^0\\ \therefore\ \frac{ 45 }{ \sin 24^0 }=\frac{ 99 }{ \sin C } \\ \implies\sin C=\frac{ 99 \sin 24^0 }{ 45 }\\ \implies\ \sin C=\frac{ 99\times0.41 }{ 45 }\\ \implies\ \sin C= 0.902\approx\ 0.90\\ implied C= \sin^{-1} 0.90\\ \therefore\ C= 64.2^0\ (nearest tenth)\]