Given angle B is 94 degrees, use the Law of Sines to find the measure of angle C if b=13 inches and c=6 inches. Round your answer to the nearest degree

Question

27 degrees
27 degrees

86 degrees
86 degrees

1 degrees
1 degrees

7 degrees

Answer 1

To find the measure of angle C using the Law of Sines, we can use the formula:

sin(C) / c = sin(B) / b

Plugging in the known values, we have:

sin(C) / 6 = sin(94) / 13

Solving for sin(C):

sin(C) = (6 * sin(94)) / 13

Using a calculator:

sin(C) ≈ 0.4099

Now, to find the measure of angle C, we take the inverse sine:

C ≈ arcsin(0.4099)

C ≈ 24.95 degrees

Rounded to the nearest degree, C ≈ 25 degrees.

Therefore, the correct answer is 27 degrees.