Question

How do you solve the triangle given A=99, a=2.5, b=1.5?

Answer 1

`color(purple)(hat B = 36.34^@, hat C = 44.66^@, c = 1.7792`

Explanation:

`sin B = (b * sin A) / a = (1.5 * sin 99)/ 2.5 = 0.5926`

`hat B = sin ^-1 0.5926 = 36.34^@`

`hat C = 180 - 99 - 36.34 = 44.66^@`

`c = (sin C * a) / sin A = (2.5 * sin 44.66) / sin 99 = 1.7792`