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Find the indicated side x. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assume 2A = 33° and C = 870. Round your answer to two decimal places.) x =

Find The Indicated Side X Use Either The Law Of Sines Or The Law Of Cosines As Appropriate Assume 2A 33 And C 870 Round Your Answer To Two Decimal Places X class=

Answer :

[tex]\begin{gathered} \angle A+\angle B+\angle C=180 \\ \angle B=180-\angle A-\angle C \\ \angle B=180-33-87 \\ \angle B=60 \end{gathered}[/tex]

Now, using sine law:

[tex]\begin{gathered} \frac{3}{\sin(B)}=\frac{x}{\sin (A)} \\ \frac{3\cdot\sin (33)}{\sin (60)}=x \\ x=1.89 \end{gathered}[/tex]

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