What is the magnitude of the resultant of these two forces?

[hammerbox]

Homework Statement

Two forces, 370 N at 11◦ and 293 N at 34◦ are
applied to a car in an effort to accelerate it.

3765 kg
370 N
11◦
293 N
34◦

What is the magnitude of the resultant of
these two forces?
Answer in units of N

Homework Equations

The Attempt at a Solution

I've tried find both xs of the forces using 370cos11=363.20 and 293cos34=242.91 adding them together to get 606.11, then I found the two ys using 370sin11=70.60 and 293sin34=163.84 adding them together to get 234.44. I then added the x^2 and y^2 of the two sums and square rooted them. What am I doing wrong?

 

[tiny-tim]

Welcome to PF!

Hi hammerbox! Welcome to PF!

(have a degree: º and try using the X² tag just above the Reply box )

Two forces, 370 N at 11◦ and 293 N at 34◦ are
applied to a car in an effort to accelerate it.

3765 kg
370 N
11◦
293 N
34◦

What is the magnitude of the resultant of
these two forces?
Answer in units of N
…
I've tried find both xs of the forces using 370cos11=363.20 and 293cos34=242.91 adding them together to get 606.11, then I found the two ys using 370sin11=70.60 and 293sin34=163.84 adding them together to get 234.44. I then added the x^2 and y^2 of the two sums and square rooted them. What am I doing wrong?

Looks ok to me.

(btw, you could save a little time by using one of the force directions as your x direction … then you only have to look up cos23º and sin23º )