Question

physics question @ganeshie8 @nincompoop @wio

Answer 1

I think you just need to split the forces into components and solve :
\[-T_1 \sin(65)+T_2\sin(80) -900\sin(\alpha-90)=0\tag{1}\]
\[T_1 \cos(65)+T_2\cos(80) -900\cos(\alpha-90)=0\tag{2}\]