SOLUTION: Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160° respectively. Find the direction and magnitude of these forces. Round to two decimal plac

Algebra ->  Trigonometry-basics -> SOLUTION: Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160° respectively. Find the direction and magnitude of these forces. Round to two decimal plac      Log On


   

Question 981086: Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160° 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! I've been trying to get to the answer for a while now! I would like to understand how to get to the answer! Thank you!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160° 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! I've been trying to get to the answer for a while now! I would like to understand how to get to the answer! Thank you!
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Magnitude:: ?
x-coordinate of the resultant = 100*cos(50)+60*cos(160) = 7.90
y-coordinatae of the resultant = 97.13
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Magnitude = sqrt[7.9^2+97.13^2] = 97.45
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Direction:: ?
Direction = arctan(97.13/7.9) = 85.35 degrees
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Cheers,
Stan H.
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