Physics

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The diagram below shows two vectors, A and B, and their angles relative to the coordinate axes as indicated.
DATA: α= 45.9o β= 57.6o |A| = 7.9 cm. The vector A - B is parallel to the -x axis (points due West). Calculate the magnitude of the vector A+B. I found all the sides of the triangles made my each vector, and then using the equation sqrt(a+c)^2+(b+d)^2 i got 17.50 as an answer. What did i do wrong?

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