Question

How do you solve the triangle given A=80, a=9, b=9.1?

Answer 1

`color(purple)(hat B = 8.7148^@, hat C = 15.2842^@, c = 2.4091`

Explanation:

`hat A = 80^@, a = 9, b = 9.1`

`sin B = (b sin A) / a = (9.1 * sin 80) / 9 = 0.9958`

`hat B = sin ^-1 0.9958 ~~ 84.7158^@`

`hat C = 180 - 80 - 84.7158 ~~ 15.2842^@`

`c = (a sin C) / sin A = (9 * sin 15.2842) / sin 80 ~~ 2.4091`