178k views
0 votes
Find c.Round to the nearest tenth:С8 cm82°550b=c= [? ]cmLaw of Sines: sin Asin C=sin Bb=aс

Find c.Round to the nearest tenth:С8 cm82°550b=c= [? ]cmLaw of Sines: sin Asin C=sin-example-1
User Adder
by
4.1k points

1 Answer

3 votes

ANSWER


9.7cm

Step-by-step explanation

To find the value of c, we have to apply the law of sines.

Therefore, we have that:


(\sin55)/(8)=(\sin 82)/(c)

Solve for c by cross-multiplying:


\begin{gathered} _{_{}}c=(8\cdot\sin 82)/(\sin 55) \\ c=(7.9221)/(0.8192) \\ c\approxeq9.7cm \end{gathered}

That is the value of c.

User Ruslan  Ismagilov
by
4.3k points