Question

Find c.Round to the nearest tenth:10 cm1500120CCC= ? Icm

Answer 1

We use the Sine law because 2 angles and one side are known.

A= 150 degrees

a = ?

B = 12 degrees

b = 10cm

C =180 - 150 - 12 = 18 degrees

c = ?

`\begin{gathered} (\sin A)/(a)=(\sin B)/(b)=(\sin C)/(c) \\ (\sin 150)/(a)=(\sin 12)/(10)=(\sin 18)/(c) \\ \text{Crossmultiplying,} \\ c=(10\sin 18)/(\sin 12)=14.86 \end{gathered}`

Therefore, to the nearest tenth, c = 14.9cm