Question 173537This question is from textbook Amsco's Preparing for the Regents Examination Mathematics B
: 16) Lucy and Ricky are pushing on a desk forming a 55degree angle with each other. If Lucy exerts a 110 pound force on the desk while Ricky exerts a 160 pound force, what is the magnitude of the resultant force, to the nearest tenth of a pound?
My answer I got 192.1 degree
If my answer is wrong can you please, show work and tell me the right answer!
Thank you so much for your time, I appreciate it alot.
This question is from textbook Amsco's Preparing for the Regents Examination Mathematics B
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! 16) Lucy and Ricky are pushing on a desk forming a 55degree angle with each other. If Lucy exerts a 110 pound force on the desk while Ricky exerts a 160 pound force, what is the magnitude of the resultant force, to the nearest tenth of a pound?
My answer I got 192.1 degree
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It isn't stated what their angles are relative to the desk.
If we assume that each of them pushes at an angle of 27.5º relative to the motion of the desk, then:
The resultant force is (110 + 160)*cos(27.5)
= 270*cos(27.5)
=~ 239.5 pounds
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