Solving Vector Problem: What Went Wrong?

[Miike012]

Posted a picture... the picture consists of the word problem and the triangle is how I interpreted the problem...

Vector A Components: (0,10)
Vector B Components: ( Cos60*6,Sin60*6)

Vector C Components: (Cos60*6 = 3 , Sin60*6 + 10 = 15) ... ( 3 , 15 )

Vector C = (9 + 225) ^(1/2) = 15

The true answer is 5.66...
What did I do wrong?

 

[Hootenanny]

Posted a picture... the picture consists of the word problem and the triangle is how I interpreted the problem...

Vector A Components: (0,10)
Vector B Components: ( Cos60*6,Sin60*6)

Correct up until here.

You want to find vector $C$ such that $B+C = A$. Do you understand why?

Also you should note that the questions asks for the final displacement, which is a vector, not a scalar.

 

[Miike012]

Would the resultant vector be A at (0,10) because that is where the final position lies?

 

[Hootenanny]

Would the resultant vector be A at (0,10) because that is where the final position lies?

Yes, but you want to find $C$