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 `15` 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 =4.0`

Explanation:

Opposite angle of side A is `/_A=180/12=15^0`
Opposite angle of side C is `/_C=7*180/12=105^0`
Applying sine law we get `A/sinA=C/sinC or A=15*(sin15/sin105)=4.0`[Ans]