Answer:
d. 32.9
Step-by-step explanation:
To find c, we'll use the Law of Sines that says:
[tex]\frac{a}{sin(A)} = \frac{c}{sin(C)}[/tex]
And we'll isolate a to get:
[tex]c = \frac{sin(C) * a}{sin(A)}[/tex]
We first need to find A, which is easy. The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:
A = 180 - 90 - 47.3 = 42.7
(converted 47°18' to 47.3)
Then we will plug-in the information we already have
[tex]c = \frac{sin(90) * 22.3}{sin(42.7)} = 32.88[/tex]
So, let's round it to 32.9 to match the answer number D.
