Question

For the given triangle below, C=120°, B=29, and b=28 feet.

Find the remaining angle, A.

Find the measure of side c.

Answer 1

m∠A = 31°

c = 50.02 feet

Explanation:

m∠A = 180° - m∠B - m∠C = 180° - 29° - 120° = 31°

sinB/b = sinC/c

sin(29)/28 = sin(120)/c

c*sin(29) = 28sin(120)

c = 28sin(120)/sin(29)

c ≈ 50.02