Question

A triangle has sides A, B, and C. The angle between sides A and B is `(7pi)/12`. If side C has a length of `36` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

Length of side `color(crimson)(c = 9.65)` units

Explanation:

`hat A = pi/12, hat C = (7pi)/12, c = 36, a = ?`

According to the law of Sines,

`a = (c sin A) / sin C`

`a = (36 * sin (pi/12))/ sin ((7pi)/12)`

Length of side `color(crimson)(c = 9.65)` units