Question

A triangle has sides A, B, and C. The angle between sides A and B is `(5pi)/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

The length of side `A` is `0.54(2dp) unit`

Explanation:

The angle between sides A and B is `/_c=(5pi)/12=5*180/12=75^0`
The angle between sides B and C is `/_a=pi/12=180/12=15^0; C=2`
Applying sine law we get `A/sina=C/sinc or A=2*(sin15/sin75)=0.54(2dp) unit`[Ans]