Question

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

Answer 1

Answer:

d. 32.9

Step-by-step explanation:

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

$\frac{a}{sin(A)} = \frac{c}{sin(C)}$

And we'll isolate a to get:

$c = \frac{sin(C) * a}{sin(A)}$

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

$c = \frac{sin(90) * 22.3}{sin(42.7)} = 32.88$

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