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

Answer 1

The length of side `A = 1.04`

Explanation:

The angle opposite to the side A is `pi/12=180/12=15^0`
The angle opposite to the side C is `pi/6=180/12=30^0`
Using sine law `A/sin15=C/sin30 :. A= 2 *(sin15/sin30)=2*0.26/0.5=1.04`[Ans]