Calculating Resultant Force from Two Forces at a Point

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To calculate the resultant force from two forces acting at a point, the x-component and y-component of each force must be determined. The x-component of F1 should be calculated using the formula F1*cos(180-65) and the x-component of F2 using F2*cos(180+52.3). The y-component for F1 is found with F1*sin(180-65) and for F2 with F2*sin(180+52.3). The overall resultant force is then calculated by summing the x and y components and applying the Pythagorean theorem. Accurate calculation of both components is essential for determining the magnitude of the resultant force.
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Homework Statement


Two forces, F1 and F2, act at a point. The magnitude of F1 is 9.80 , and its direction is an angle 65.0 above the x-axis in the second quadrant. The magnitude of F2 is 5.00 , and its direction is an angle 52.3 below the x-axis in the third quadrant.

What is the x-component of the resultant force?




What is the y-component of the resultant force?




What is the magnitude of the resultant force?

Homework Equations


Fcos(\vartheta) for X-component

Fsin(\vartheta) for y-component

\sqrt{X-comp^{}2/y-comp^{}2}

The Attempt at a Solution



I take
9.8*Cos(180-65) for X-component but that's wrong

what else should I try.
Thanks alot.
 
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Theres 2 forces, why did you only calculate the x-component of the one force. It wants the sum of the x components of both forces.
 
This is just what I started on. If I don't get this part right then I won't be able to get the rest right.
 
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