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 `7` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

`A=1.88`

Explanation:

Clearly this ia right-angled triangle since angle between `A and C=pi-(pi/12+(5pi)/12)=pi-pi/2=pi/2`
And `side B =hypoten use and side A =p=? and side C=b=7`
Hence we can write
`A/C=p/b=tan(pi/12)`
or
`A/7=0.268`
or
`A=7times0.268`
or
`A=1.88`