Question

Find angle C in degrees. Round to the nearest tenth.

a = 11, b = 12, A = 20

A) 33.4°
B) 43.6°
C) 56.4°
D) 66.6°

Answer 1

To find angle C, we can use the Law of Sines.

Step-by-step explanation:

To find angle C, we can use the Law of Sines which states that the ratio of the sine of an angle to the length of the opposite side is constant for all angles in a triangle:

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

Using the given information:

• A = 20°
• a = 11
• b = 12

we can rearrange the equation to solve for angle C:

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

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

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

Plugging in the values:

C = arcsin((sin(20°) / 11) * 12)

C ≈ 56.4°