(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 60 degrees. If dog A exerts a force of 270N and dog B exerts a force of 300 N, find the magnitude of the resultant force and the angle it makes with dog A's rope.

2. Relevant equations

3. The attempt at a solution

We know that the resultant force between 2 forces is

[tex]f_{res} = \sqrt{F_{a}^2 + F_{b}^2 + 2 F_{a} F_{b} cos \theta}[/tex]

[itex] = 493.86N [/itex]

This part I got write, the part I don't understand is how to find the angle the resultant force makes with the dog A's rope.

I grabbed the problem on cramster http://www.cramster.com/solution/solution/1339563 and the person uses this formula

[tex]tan \theta = \frac{F_{b} sin 60}{F_{a} + F_{b} cos 60}[/tex]

1. The problem statement, all variables and given/known data

But after 30min+ grappling with how he got to that formula I still don't know how!

Please help, I'm going crazy over this lol.

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# Homework Help: Angle on Tension?

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