Question

Round to the nearest tenth.

Answer 1

Answer:

$c=9.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

$A+B+C=180^o$

substitute the given values

$A+110^o+30^o=180^o\\A=40^o$

step 2

Find the length side c

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{12}{sin(40^o)}=\frac{c}{sin(30^o)}$

solve for c

$c=\frac{12}{sin(40^o)}sin(30^o)$

$c=9.3\ units$