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50 Points! Multiple choice geometry question. Photo attached. Thank you!

50 Points! Multiple choice geometry question. Photo attached. Thank you!-example-1

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So I answered your other question, here we use another law, specifically the law of sins.

Law is sins is

SinA/a = SinB/b = SinC/c

Since you are given A’s side and length we can use this to be the “base” of the problem and solve for C because we are also given this angle.

It’s set up like this:

Sin42/12 = Sin56/C

Cross multiply

12sin56 = Csin42

Divide by Sin42 to get C by itself

(12sin56)/(Sin42) = C

The answer you should get is 14.86 which rounded is 14.9

D is your answer.

Hope it helps lmk if there are questions
User Becky
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