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Forces with magnitudes of 250 pounds and 130pounds act on an object at angles 45degrees and -60degrees respectively with the positive axis. Find the direction and magnitude of the resultant of these forces.

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  1. 250 pounds at 45° ---> (250cos45, 250sin45)
    130 pounds at -60° ---> (130cos(-60), 130sin(-60) )
    Resultant = (250cos45, 250sin45)+(130cos(-60), 130sin(-60) )
    = (125√2, 125√2) + (65 , -65√3)
    = ( 125√2 + 65 , 125√2 - 65√3)
    = appr (241.7767 , 64.1934)

    maginitude = √(..^2 + ..^2) = 250.153
    angle:
    tanØ = 64.1934/241.7767
    Ø = 14.87°

    check my arithmetic

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