A 100N sign is supported by two cables that are attached to two cables, attached to two buildings. The cables make an angle of 30 degrees with the top of building A and 60 degrees with the top of building B. Find the magnitude of the force exerted by each cable on the sign.
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The answer is obtained by calculating the relationship between both forces, after embedding trigonometric properties within the problem. After finding out one force in terms of the other, the exact magnitude of both forces are thus calculated.