Question

A triangle has sides A, B, and C. The angle between sides A and B is `pi/8`. 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 is `10.145(3dp)`

Explanation:

The angle between sides A and B is `/_c= pi/8=180/8=22.5^0`
The angle between sides B and C is `/_a= pi/12=180/12=15^0`
Given `C=15; A=?`. Using sine law `A/sina=C/sinc` we get `A=15*sin15/sin22.5 =10.145(3dp)`[Ans]