two force acting at right angle to each other and have a resultant of 98n calculate the magnitude of the force if one of tham make and angle 60 with the resultant

Question

two force acting at right angle  to each other and have a resultant of 98n calculate the magnitude of the force if one of tham make and angle 60 with the resultant

Damon · Answer

find Fx which is 60 deg from result Fx^2 + Fy^2 = 98^2 tan 60 = Fy/Fx so Fy = Fx* tan 60 Fx^2 + Fx^2 tan^2 60 = 98^2 Fx^2 (1+tan^2 60) = 98^2 Fx = 98/sqrt (1+tan^2 60)