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My math teacher gave us the following vector problem:

"Three coplanar forces of xN, 10N, and 20N act on a body and maintain it in a state of equilibrium. If the x-N force acts along the horizontal and the 10-N force at an angle of 60 degrees to the horizontal, find the value of x and the direction of the 20-N force, correct to one decimal place."

I drew my diagram, and it doesn't look overly difficult. However I am wondering if there are multiple answers to the question. From the way I have set it up, I can simply choose any value for theta (the angle of the 20N force relative to the horizontal) and then solve for x.

Here is a sketch of what my diagram looks like:

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# Vector Problem

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