Statics and Pulleys

Question

Consider the 653 N weight held by two cables shown below. The left-hand cable had tension T2 and makes an angle of 35◦ with the ceiling. The right-hand cable had tension T1 and makes an angle of 36◦ with the ceiling.

What is the tension in the cable labeled T1 slanted at an angle of 36◦ ? Answer in units of N.

What is the tension in the cable labeled T2 slanted at an angle of 35◦ ? Answer in units of N.

For part a, I currently have 653/sin36+cos36+tan35. I don't know if that's correct or not

Answer 1

The two equations are

T2 Cos 35 +T1 Cos 36 = 653 ( N)........ Eq 1

and T2 Sin35 = T1 Sin 36............ Eq 2

Which gives T2/T1 = 1.026

and

T2*0.819 +T1 *0.809 = 653

from these two you get T1 and T2