Answer:
F = 254.08N Θ = 72.03°
Step-by-step explanation:
First of all we find the resolution in both x and y axis
∑Fx = 170cos87 + 100cos46 = 78.36N
∑Fy = 170sin87 + 100sin46 = 241.70N
To find the resultant vector we use pythagorean theorem
F = √(∑Fx)² + ∑(Fy)²
F = √(78.36² + 241.70²)
F = √(64559.1796)
F = 254.08N
the angle between both force can be obtained using
tanθ = ∑Fy / ∑Fx
tanθ = 241.70 / 78.36
tanθ = 3.084
Θ = tan⁻ 3.084
Θ = 72.03°
