Finding the mass of an object suspended by two ropes

[hihothere]

An object hangs by two strings as shown in the picture. It does not move. The tension in the left string is 65.92 N, and the left string is angled Øleft=30.76 degrees from horizontal. The right string is angled Øright=74.38 degrees from horizontal.

what is the mass of the object?

Relevant equations...not quite sure :/


I tried finding the other tension and than adding them to get the total Newtons and finding the mass that way but it didnt seem to work

the answer is 24.11kg I am just not sure on how to get the answer

 

[brushman]

You must find the y components of each tension, and then add them. This will give you the weight, which you can then convert to mass.