Use the Law of Sines to solve for C and B.Round your answer to two decimal places.
A = 60°,a = 36,c = 40

A)C ≈ 105.79°,B ≈ 45.79° or
C ≈ 74.21°,B ≈ 14.21°
B)C ≈ 74.21°,B ≈ 45.79° or
C ≈ 105.79°,B ≈ 14.21°
C)C ≈ 10°,B ≈ 110° or
C ≈ 25.5°,B ≈ 104.5°
D)C ≈ 45.79°,B ≈ 74.21° or
C ≈ 14.21°,B ≈ 105.79°
E)C ≈ 60°,B ≈ 60° or
C ≈ 45°,B ≈ 75°

Question

Use the Law of Sines to solve for C and B.Round your answer to two decimal places. ​
A = 60°,a = 36,c = 40
​
A)C ≈ 105.79°,B ≈ 45.79° or
​C ≈ 74.21°,B ≈ 14.21°
B)​C ≈ 74.21°,B ≈ 45.79° or
​C ≈ 105.79°,B ≈ 14.21°
C)​C ≈ 10°,B ≈ 110° or
​C ≈ 25.5°,B ≈ 104.5°
D)​C ≈ 45.79°,B ≈ 74.21° or
​C ≈ 14.21°,B ≈ 105.79°
E)​C ≈ 60°,B ≈ 60° or
​C ≈ 45°,B ≈ 75°

Quizplus · Accepted Answer

Using the Law of Sines, we have:

c/sin(C) = a/sin(A)

40/sin(C) = 36/sin(60°)

sin(C) = (40/36)sin(60°)

sin(C) ≈ 0.9659

C ≈ 74.21°

Now, we can find angle B using the fact that the three angles must add up to 180°:

B = 180° - A - C

B ≈ 45.79°

Therefore, the answer is choice B:  C ≈ 74.21°, B ≈ 45.79°.

Use the Law of Sines to Solve for C and B.Round