Question

QUICK BRAINLIEST Given: △PTC m∠T=120°, m∠C=30° PT=4 Find: PC.

Answer 1

The length of $PC$ will be  $4\sqrt{3}$

Explanation

In the below diagram, $PC$ is the opposite side of $\angle T$ and $PT$ is the opposite side of $\angle C$

Given that,  $m\angle T = 120$° , $m\angle C = 30$° and $PT= 4$

Now using Sine rule, we will get......

$\frac{PC}{Sin(120)}=\frac{PT}{Sin(30)}\\ \\ \frac{PC}{Sin(120)}=\frac{4}{Sin(30)}\\ \\ PC= \frac{4Sin(120)}{Sin(30)}= \frac{4*\frac{\sqrt{3}}{2}}{\frac{1}{2}} = 4\sqrt{3}$

So, the length of $PC$ will be  $4\sqrt{3}$