Question

A triangle has sides A, B, and C. The angle between sides A and B is `pi/6`. If side C has a length of `7` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

Length of side A `= color (green)(3.6235`

Explanation:

Given : hatC = pi/6, hatA = pi/12, c = 7#

To find side a.

As per the law of sines,

`a / sin A = b / sin B = c / sin C`

`:. a= (c * sin A) / sin C`

`a = (7 * sin (pi/12))/sin (pi/6) = 3.6235`