Basic mechanics question -- Two cables supporting a stage light

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Krashy
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Homework Statement



Diagram of a stage light of weight 120 N hanging from two cables attached to a ceiling at 90 degrees to each other, with one cable tension labelled 70 N and the other labelled T, and the 120 N weight arrow pointing downward.


Homework Equations


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apparently none

The Attempt at a Solution


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Hi, this is a question from the OCR for self studying purposes. Only the first question is relevant for me. I know that the solution is 120N in the opposite direction to the weight, but i can't get to this solution. There is no calculation in the solution so i tried doing it with scale drawing and the head to tail method, but it didnt work. I also tried to multiply the 120N by the stage light with the cosine of the angle between the vectors but the angles are above 90 degrees so i won't get a useful solution.

All the other questions in that topic were really easy so i guess its something fairly simple that i need to do. I hope someone can help me. Thank you very much in advance.
 
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  • Diagram of a stage light of weight 120 N hanging from two cables attached to a ceiling at 90 degrees to each other, with one cable tension labelled 70 N and the other labelled T, and the 120 N weight arrow pointing downward.
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Hi Krashy and welcome to PF.

What is the sum of all the forces? Hint: Note that the resultant that you seek, when added to the 120 N down, should give you that sum.
 
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