I've come across this math problem and need help on working it out.

Question

Ropes 3 m and 5 m in length are fastened to a holiday decoration that is suspended over a town square. The decoration has a mass of 5 kg. The ropes, fastened at different heights, make angles of and with the horizontal. Find the tension in each wire and the magnitude of each tension.

I know that the length of the ropes are irrelevant in this problem and that I'm also given the angles. So far I've written that vector of T1 is (-|T1|*cos(52), |T1|*sin(52)) and that T2 is (|T2|*cos(40), |T2|*sin(40)), however I'm not sure if I'm starting off right.

Please help, thanks!