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 `2` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

Length of side A is `0.54 (2dp)` unit

Explanation:

The angle between sides A and B is `/_C = (7 pi)/12 =105^0`
The angle between sides B and C is `/_A = pi/12 =15^0`
`C=2` (given) .Applying sine law `A/sinA=C/sinC` we get `A= 2*(sin15/sin105) = 0.54 (2 dp)` unit [Ans]