Question

How to answer this problem

Answer 1

m<C = 12.0 °

Explanation:

Since we know that this is a non-right triangle, we must use either the law of sines or law of cosines to find m<C.

The information we now have only allows us to use the law of sines, which focuses on proportions:

`(SinA)/(a)=(SinB)/(b)=(SinC)/(c)`

Thus, we can use:

`(sin(98))/(19)=(sinC)/(4)\\ 4*sin(98)=19*sinC\\ (4*sin(98))/(19)=sinC\\ sin^-1(4*sin98)/(19)=12.033=12.0`

The sin^-1 represents the sin inverse, which you must use to find angle measures.