66,848 views
16 votes
16 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 HENG Vongkol
by
3.0k points

1 Answer

17 votes
17 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 PhML
by
2.9k points