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

7 degrees
27 degrees
1 degrees
86 degrees

Answer 1

To use the Law of Sines, we can set up the proportion:

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

Substituting in the given values:

sin(94°)/13 = sin(C)/6

To solve for sin(C), we can cross-multiply:

6 * sin(94°) = 13 * sin(C)

sin(C) = (6 * sin(94°)) / 13

Using a calculator, we find:

sin(C) ≈ 0.5353

To find the measure of angle C, we can take the inverse sine:

C ≈ sin^(-1)(0.5353)

C ≈ 31.4°

Rounded to the nearest degree, the measure of angle C is 31°.

Answer 2

pick one of my answers

Answer 3

The measure of angle C is approximately 27 degrees.