Calculating magnitudes of vectors

[PAstudent]

1. Homework Statement
Given the two vectors in the diagram, calculate their magnitudes if A+B-225j=0

Homework Equations

sum of x component= Acos(42)--Bcos(56)
sum of y component= Asin(42)+Bsin(56)--225j

The Attempt at a Solution

Find A and B use substitution

A= [Bcos(56)]/cos(42) from x comp.

plug that into y comp. to solve for B

[Bcos(56)sin(42)]/cos(42) + Bsin(56) -- 225j=0

After solving, I got B= 168.85 and A=127.05. Does that seem correct?

 

[Chestermiller]

I haven't checked your arithmetic, but your setup of the equations looks correct...except for those j's in the y component equations.

Chet