Question

If a=22.3 and B=47°18’ find c (picture provided)

Answer 1

D, 32.9

Explanation:

Answer 2

d. 32.9

Explanation:

To find c, we'll use the Law of Sines that says:

`(a)/(sin(A)) = (c)/(sin(C))`

And we'll isolate a to get:

`c = (sin(C) * a)/(sin(A))`

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

`c = (sin(90) * 22.3)/(sin(42.7)) = 32.88`

So, let's round it to 32.9 to match the answer number D.