230k views
0 votes
Someone please help me

Someone please help me-example-1

1 Answer

5 votes

Answer:

m∠B ≈ 28.05°

Explanation:

Because we don't know whether this is a right triangle, we'll need to use the Law of Sines to find the measure of angle B (aka m∠B).

The Law of Sines relates a triangle's side lengths and the sines of its angles and is given by the following:


(sin(A))/(a) =(sin(B))/(b) =(sin(C))/(c).

Thus, we can plug in 36 for C, 15 for c, and 12 for b to find the measure of angle B:

Step 1: Plug in values and simplify:

sin(36) / 15 = sin(B) / 12

0.0391856835 = sin(B) / 12

Step 2: Multiply both sides by 12:

(0.0391856835) = sin(B) / 12) * 12

0.4702282018 = sin(B)

Step 3: Take the inverse sine of 0.4702282018 to find the measure of angle B:

sin^-1 (0.4702282018) = B

28.04911063

28.05 = B

Thus, the measure of is approximately 28.05° (if you want or need to round more or less, feel free to).

User Scottysseus
by
8.0k points

No related questions found