NEED HELP WITH A MATH QUESTION
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Answer:
56.3 cm
Step-by-step explanation:
(sinA)/(27) = (sinC)/c
(sin28°)/(27) = (sin102°)/c
For this case we have that by definition, the sum of the internal angles of a triangle is 180 degrees.
Then we look for the measure of the third angle:
[tex]102 + 28 + x = 180\\x = 180-102-28\\x = 50[/tex]
According to the Law of sines:
[tex]\frac {sin (50)} {a} = \frac {Sin (28)} {27}\\a = \frac {27 * sin (50)} {sin (28)}\\a = \frac {0.76604444 * 27} {0.46947156}\\a = 44.06[/tex]
Answer:
[tex]a = 44.1[/tex]