If b=16°45’ and c=13 then find a (picture provided)

A. 12.4

Step-by-step explanation:

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

And we'll isolate a to get:

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 - 16.75 = 73.25

(converted 16°45' to 16.75)

Then we will plug-in the information we already have

So, let's round it to 12.4 to match the answer A.

The length of side marked a is 12.4 units.

Step-by-step explanation:

In ΔABC

∠B = 16°45’ = 16.75°

1 min arc =

c = 13 units

a = ?

The length of side marked a is 12.4 units.