The law of sines tells you ...
... PC/sin(T) = PT/sin(C)
Multiplying by sin(T), we get ...
... PC = PT·(sin(T)/sin(C))
... PC = 4·sin(120°)/sin(30°) = 4·(√3/2)/(1/2)
... PC = 4√3 ≈ 6.928
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)
[tex]\dfrac{4*sin(120)}{sin(30)} = \text{PC}[/tex]
4*0.866/0.5 = PC
Answer
PC= 6.928
