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Consider a triangle where A = 30°. a = 1.8 cm, and b = 1.8 cm. Use the Law of Sines to find sin(B). Round your answer to 2 decimal places.

Consider a triangle where A = 30°. a = 1.8 cm, and b = 1.8 cm. Use the Law of Sines-example-1
User Zugaldia
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1 Answer

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Recall that the law of sines states that:


(a)/(\sin A)=(b)/(\sin B)=(c)/(\sin C)\text{.}

Therefore, for the given triangle we get that:


(1.8)/(\sin30^(\circ))=(1.8)/(\sin B).

Solving the above equation for sinB we get:


\begin{gathered} (\sin30^(\circ))/(1.8)=(\sin B)/(1.8), \\ \sin 30^(\circ)=\sin B, \\ \sin B=(1)/(2)=0.5. \end{gathered}

Answer: sin B=0.50.

User Masayo
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