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Vector Problem and Degrees

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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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Solution Summary

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.

Solution Preview

See the attached file for the full breakdown of the solution and the visual depiction of the magnitude of the forces exerted by each cable on the sign.

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