Question

A triangle has sides A, B, and C. The angle between sides A and B is `pi/3`. If side C has a length of `3` 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 `0.9` unit.

Explanation:

The angle between sides `A and B` is `/_c = pi/3= 180/3=60^0`

The angle between sides `B and C` is `/_a = pi/12= 180/12=15^0`

`C=3 ; A=?` Applying sine law we can find `A` as

`A/sina = C/sinc or A = C* sina/sinc=3 *sin15/sin60 ~~ 0.9` unit

The length of side `A` is `0.9` unit. [Ans]