Use the Law of Sines to find the missing angle of the triangle. Find to the nearest tenth.

Question

Use the Law of Sines to find the missing angle of the triangle. Find  to the nearest tenth.

anonymous · Answer

attachment

anonymous · Answer

we can find all
what angle are you looking for?

anonymous · Answer

m<c

anonymous · Answer

$$\frac{\sin(39)}{24}=\frac{\sin(C)}{38}$$ so 
$$\sin(C)=\frac{38\sin(39)}{24}$$

anonymous · Answer

then a calculator
once you find $\sin(C)$ then you find $C$ by taking the arcsine of the answer

anonymous · Answer

anonymous · Answer

so its 23.4?

anonymous · Answer

according to wolfram it is 85.15
unless i put it in wrong
did you check the link?

anonymous · Answer

in any case 38 is larger than 24, so the angle has to be larger than 39

anonymous · Answer

My fault I pressed the wrong button...85.2...had to round