Respuesta :
Answer: θ = 97.8°
Explanation: Three forces in equilibrium form a triangle. To determine the angle, we can use Law of Cosines, which relates the side of a triangle to the cosine of one of its angles.
The relationship is given as
[tex]a^{2}=b^{2}+c^{2}-2bccos\theta[/tex]
For the three forces, cosine law is
[tex]210^{2}=114^{2}+120^{2}-2(114)(120)cos\theta[/tex]
[tex]44100=12996+14400-27360cos\theta[/tex]
[tex]27360cos\theta=-3708[/tex]
[tex]cos\theta=-0.1355[/tex]
[tex]\theta = cos^{-1}(-0.1355)[/tex]
[tex]\theta=[/tex] 97.8°
The angle between forces 114lb and 120lb is 97.8°
