Find the resultant force when f1 = 50 n and f2 = 20 n (f1 is vertical and f2 is horizontal. it looks like it's a graph and there's a diagonal line going between them and the line is labeled "resultant".

The resultant is the vector sum of the sum of each component.  The components are perpendicular, like an x-y graph.  Since you only have two components altogether, your resultant is the sum of 50N along y, and 20N along x.  It's given simply by



where  is the unit vector along x and  is the unit vector along y.  The magnitude of  is given by the Pythagorean theorem as



Its angle above the x-axis is given by the arctangent of the y-component divided by the x-component:

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