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
27 degrees
27 degrees
86 degrees
86 degrees
1 degrees
1 degrees
7 degrees
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.