Question

How to answer this problem

Answer 1

Answer:

m<C = 12.0 °

Step-by-step 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:

$\frac{SinA}{a}=\frac{SinB}{b}=\frac{SinC}{c}$

Thus, we can use:

$\frac{sin(98)}{19}=\frac{sinC}{4}\\ 4*sin(98)=19*sinC\\ \frac{4*sin(98)}{19}=sinC\\ sin^-1\frac{4*sin98}{19}=12.033=12.0$

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