Question

NEED HELP WITH A MATH QUESTION

Answer 1

56.3 cm

Explanation:

(sinA)/(27) = (sinC)/c

(sin28°)/(27) = (sin102°)/c

Answer 2

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:

`102 + 28 + x = 180\\x = 180-102-28\\x = 50`

According to the Law of sines:

`\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`

Answer:

`a = 44.1`