Question

A triangle has sides A, B, and C. The angle between sides A and B is `(2pi)/3`. If side C has a length of `21` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

`color(maroon)("Length of side " a = 6.28 " units"`

Explanation:

`hat A = pi/12, hat C = (2pi) /3, hat B = pi - pi/12 - (2pi)/3 = pi/4, c = 21`

`a / sin A = c / sin C`

`a = (21 * sin(pi/12)) / sin ((2pi)/3) = 6.28`