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# Three forces with magnitudes of 54 pounds, 91 pounds, and 126 pounds act on an object at angles of 30°, 45°, and 120°.?

Three forces with magnitudes of 54 pounds, 91 pounds, and 126 pounds act on an object at angles of 30°, 45°, and 120° respectively, with the positive x-axis. Find the direction and magnitude of the resultant force. (Round your answers to one decimal place.)

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- NCSLv 71 month agoFavorite Answer
Rx = (54*cos30º + 91*cos45º + 126*cos120º) lb = 48.11 lb

Ry = (54*sin30º + 91*sin45º + 126*sin120º) lb =200.47 lb

direction Θ = arctan(Ry/Rx) = 76.5º ◄

magnitude R = √(Rx² + Ry²) = 206.2 lb ◄

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