Question

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

Answer 1

Givens

m<T = 120

m<C = 30

PC = 4

Find PC

Solution

4/sin(30) = PC / sin(120) Note: this is the sine law.

Multiply both sides by sin(120)

`(4*sin(120))/(sin(30)) = \text{PC}`

4*0.866/0.5 = PC

Answer

PC= 6.928