At a picnic, there is a contest in which hoses are used to shoot water at a
beach ball from three different directions. As a result, three forces act on the
ball, F;, Fy and Fy (see drawing). The magnitudes of F, and F, are F, =50.0 N
and F,= 90.0 N. F; acts under an angle of 60° with respect to the x-axis and
F, is directed along the x-axis. Find the magnitude and direction of Fy such
that the resultant force acting on the ball is zero.