# Resultant Magnitude of Two Forces

## Homework Statement

Two forces, 464 N at 10 degrees and 397 N at 35 degrees are applied to a car in an effort to accelerate it. What is the magnitude of the resultant force. Answer in units of N.
The picture is attached.

Pythags Theorem

## The Attempt at a Solution

Well I thought this should be an easy problem but Ive run into a wall here. I started out by taking the first force of 464 N and Finding its X and Y components. X= 464*cos10 and Y= 464*sin10 which gave me X1=465 and Y1=80.57. Then I did the same for F2 by using X=397*cos35 and Y=397*sin35 which gave me X2=325.20 and Y2=-227.71. Then I added up the sum of the forces in the X direction and got 776.15 and the Y direction= -147.14. Now that I have the sum of the forces in both directions I used Pythagoras theorem:
776.152+-147.142=F2 and I came out with a final answer of 762.08 which is incorrect. Can someone tell me where I went wrong. Am I way off? I thought I was on the right track here. My only other thinking was to place one of the forces on the positive x axis and go from there, but if I bring the 35 degree angle up to that axis, does that change the 10 degree angle to 45 or do I still figure that force out with an angle of 10? Thanks for any help, I really appreciate it.

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