Question

Imagine that a is 5 feet, b is 21 feet, and c is 18 feet. If angle B
𝐵
is 55 degrees, find angle C
𝐶
. Round your answer to the nearest degree.

(1 point)
degrees

Answer 1

Use the Law of Sines:
sin C = (c/b) sin B = (18/21) sin 55° ≈ 0.702606.

C = arcsin(0.702606) ≈ 44.64°, which rounds to 45° (the supplementary solution is impossible since B + C would exceed 180°).

Answer: 45 degrees.