SOLUTION: Find the magnitude of R if R = A + B where A = 179 @ 67degree B = 204 @ 234degree

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Question 1157373: Find the magnitude of R if R = A + B where
A = 179 @ 67degree
B = 204 @ 234degree
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Find the x-values of the vectors
+A%5Bx%5D+=+179%2Acos%28+67+%29+
+A%5Bx%5D+=+179+%2A+.39073+
+A%5Bx%5D+=+69.9409+
and
+B%5Bx%5D+=+204+%2A+cos%28+234+%29+
+B%5Bx%5D+=+204+%2A+%28+-.58779+%29%0D%0A%7B%7B%7B+B%5Bx%5D+=+-119.9082+
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Find the y-values of the vectors
+A%5By%5D+=+179%2Asin%28+67+%29+
+A%5By%5D+=+179+%2A+.9205+
+A%5By%5D+=+164.7704+
and
+B%5By%5D+=+204%2Asin%28+234%29+
+B%5By%5D+=+204+%2A+%28+-.8090+%29+
+B%5By%5D+=+-165.0395+
================================
Add the x-values
+A%5Bx%5D+%2B+B%5Bx%5D+=+69.9409+%2B+%28+-119.9082+%29+
+R%5Bx%5D+=+-49.9673+
and
+A%5By%5D+%2B+B%5By%5D+=+164.7704+%2B+%28+-165.0395+%29+
+R%5By%5D+=+-.2691+
-----------------------------
+R+=+sqrt%28+R%5Bx%5D%5E2+%2B+R%5By%5D%5E2+%29+
+R+=+sqrt%28+2496.7311+%2B+.07241+%29+
+R+=+sqrt%28+2496.8035+%29+
+R+=+49.968+
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Check the math & get a 2nd
opinion if needed