Question

Someone pls help im so close

Answer 1

Answer: A) 126.6

Explanation:

Since we know ∠B = 85° and ∠C = 53°, we can use the Triangle Sum Theorem (angles of a triangle = 180°) to calculate ∠A.

∠A + ∠B + ∠C = 180

∠A + 85 + 53 = 180

∠A + 138 = 180

∠A = 42

Now we have:

A = 42 B = 85 C = 53

a = 85 b = ??? c = ???

We have all of the information for ∠A and side a so we can use the Law of Sines to find b (AC).

`(\sin 42)/(85)=(\sin 85)/(b)\\\\\\b(\sin 42)=85(\sin 85)\\\\\\b=(85\sin 85)/(\sin 42)\\\\\\b=\large\boxed{126.547}`