Can someone check my work on this please?
Two forces with magnitudes of 200 and 100 pounds act on an object at angles of 60° and 170° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

Question

Can someone check my work on this please?
Two forces with magnitudes of 200 and 100 pounds act on an object at angles of 60° and 170° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

anonymous · Answer

This is what I put: For the first triangle, u, I got u=<-98.48, 17.36>. For the second triangle, v, I got v=<100, 173.2>. Resultant force=u+v=<1.52,190.56>. Magnitude=~190.57. Direction angle= tan^1(b/a)=tan^1(190.56/1.52)=125.37.

mathmale · Answer

At first glance it appears as though you are on precisely the right track.  I'm not actually checking the math, only the method you've used.  As far as method:  you're demonstrating good understanding of this material.

Strongly suggest that you draw a diagram next time you try solving this kind of problem.

anonymous · Answer

I did draw the diagram, I just didn't draw it again on here. Thanks! :D God bless you!

mathmale · Answer

Always happy to hear from you and to be of help.