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 `13` 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 `6.73(2dp)`

Explanation:

The angle between sides A and B is `/_c = pi/6=30^0`
The angle between sides B and C is `/_a = pi/12=15^0`
We know by sine law `A/sina=C/sinc ; C=13 :. A/sin15=13/sin30 or A= 13*(sin15/sin30)= 6.73(2dp)`
The length of side A is `6.73(2dp)` [Ans]