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e-lub [12.9K]
2 years ago
8

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

Mathematics
2 answers:
DaniilM [7]2 years ago
5 0

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

deff fn [24]2 years ago
3 0

Givens

m<T = 120

m<C = 30

PC = 4

Find PC

<em><u>Solution</u></em>

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

Multiply both sides by sin(120)

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

4*0.866/0.5 = PC

<em><u>Answer</u></em>

PC= 6.928




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