SOLUTION: Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 40° and 170° respectively. Find the direction and magnitude of these forces. Round to two decimal pla

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Question 982555: Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 40° and 170° respectively. Find the direction and magnitude of these forces. Round to two decimal places in all intermediate steps and in your final answer.
Please help!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming you want the magnitude and direction of the resultant force since you already have the magnitude and direction of the individual forces.
In the x direction,
F%5Bx%5D=150cos%2840%29%2B100cos%28170%29=114.91-98.48=16.43
F%5By%5D=150sin%2840%29%2B100sin%28170%29=96.42%2B17.36=113.78
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abs%28F%29=sqrt%28F%5Bx%5D%5E2%2BF%5By%5D%5E2%29=sqrt%2816.43%5E2%2B113.78%5E2%29=114.96lbs
theta=tan%5E%28-1%29%28113.78%2F16.43%29=81.78degrees