Sue's foot exerts a force of 28.85 N East.
Jenny's foot exerts a force of 15.53 N North.
We are asked to find the direction of the resultant force on the ball.
Let us draw a diagram to better understand the problem.
We need to find the angle as shown in the above diagram.
With respect to the angle θ, the adjacent side is 28.85 N and the opposite side is 15.53 N
Recall the trigonometric ratio,
[tex]\tan \theta=\frac{opposite}{adjacent}[/tex]Let us substitute the given values and take the inverse of tanθ.
[tex]\begin{gathered} \tan \theta=\frac{15.33}{28.85} \\ \theta=\tan ^{-1}(\frac{15.33}{28.85}) \\ \theta=27.98\degree \end{gathered}[/tex]Therefore, the direction of the resultant force on the ball is 27.98° northeast.
