Calculating Tension in Two Ropes

[kamalpreet122]

Homework Statement

A 2.50X10²Kg weight is suspended from two ropes that are angled at 30.0degrees and 60.0 degrees above horizontal. What is the tension in the two ropes?

The work i did is in the attachements .. The answer sheet says the answer of the two forces is 1420 N and 2470 N i can't seem to match those answers =( please tell me where i went wrong

 

[ashishsinghal]

In this question you have got a lot of calculations. Maybe the answer sheet has shown answers with g = 10 and some other approximations. Also the answers like 1420 N and 2470 N suggests this . Your method is correct.