Compute the magnitude and direction of the sum of the two vectors: 170N of force at 87° and 100N of force at 46°.

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°

part 1 answer = 8

part 2 answer = 72

step-by-step explanation:

part 1 explanation = add all of the numbers, then divide by how many numbers you have. so, 200/25 = 8.

part 2 explanation = not gonna lie, this is hard to explain, so just google how to do it.