Question

Solve Δ ABC with A = 70°, b = 30, and c = 51.


a. a = 50.77, B = 33.23°, C = 76.77°
b. a = 50.77, B = 34.68°, C = 75.32°
c. a = 49.54, B = 33.23°, C = 76.77°
d. a = 49.54, B = 34.68°, C = 75.32°

Answer 1

use law of cosines to find 3rd side
\[\huge\rm a^2 = c^2 + b^2 -2b cos(A)\]
plug in numbers solve for a