Solving Tension Problem: 45° & 75° Angles, 55N Weight

[Darkfire25]

How would you solve a problem as follows:

There is a 55N weight suspended by two ropes. The ropes make angles of 45 and 75 degrees with the ceiling. Determine the tension in the two ropes.


I've tried a few things but none have worked. Vectors test tomorrow and these type of questions kill me. Any help is most appreciated! Preferably step by step :)

 

[Saitama]

Show us your work, show us what you have done so far.

 

[azizlwl]

1. A vector, here the tension, can be resolved into 2 component vectors that makes your calculation easier.
2. For vector of same or opposite direction, simple arithmetics can be applied.
3. For a body in equilibrium, the net forces in any direction equal to zero.

From above you can deduce equations with given data.