Question

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

Answer 1

we can find all
what angle are you looking for?

Answer 2

m<c

Answer 3

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

Answer 4

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

Answer 5

or you can do it all in one step if you like
http://www.wolframalpha.com/input/?i=arcsin%2838*sin%2839%29%2F24%29

Answer 6

so its 23.4?

Answer 7

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

Answer 8

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

Answer 9

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