SURENDRA K. answered • 09/07/14

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Sally is applying force against Allison & Maria.

We should draw the diagram of all forces acting.

Horizontal components of forces----

75 cos(30)=55cos(55)+F cos(theta)

Vertical components of forces-------

75 sin (30)=F sin(theta)-55sin(55)

F cos(theta)=33.4

Fsin(theta)=82.55

Tan (theta)=2.47

Theta= 67.9

F=88.8 N

For guidance of figure---

Force of Sally is in second quadrant

Force of Allison is in first quadrant.

Force of Maria is in fourth quadrant

SURENDRA K.

That is why I said, you draw the figure.

The angle 67.9 degrees is in fourth quadrant, yes.

You can call it -67.9 degrees if you like.

See the component equations.

There is a correction in vertical components equation in your answer.

Since Sally's force is opposing as that of Allison & Maria.

Any question? Welcome

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09/07/14

Phillip R.

09/07/14