Answer:
1.73 units.
Step-by-step explanation:
We have been given that in triangle PTC measure of angle T is 120 degrees and measure of angle C is 30 degrees. We are asked to find the length of side PC.
We will use law of sines to solve for side PC.
, where, a ,b and c are opposite sides to angle A, B and C.
Upon substituting our given values in law of sines, we will get:
![\frac{PC}{\text{sin}(120^{\circ})}=\frac{PT}{\text{sin}(30^{\circ})}](https://tex.z-dn.net/?f=%5Cfrac%7BPC%7D%7B%5Ctext%7Bsin%7D%28120%5E%7B%5Ccirc%7D%29%7D%3D%5Cfrac%7BPT%7D%7B%5Ctext%7Bsin%7D%2830%5E%7B%5Ccirc%7D%29%7D)
Therefore, the length of side PC is approximately 1.73 units.