Im just a low level electrician (and I dont understand the 50 + 50 = 87
Put a stake in the ground, and tie three ropes to the top of it. Pull on the ropes horizontally.
Ropes 1 and 2 are to be 60 degrees apart.
Rope 3 is to be opposite the two of them, and an equal angle of 150 degrees from each.
Pull on rope 1 with 50 pounds, pull on rope 2 with 50 pounds. How many pounds are needed to pull on rope 3, so that the stake isn't pulled over in any direction? Answer: 87 pounds.
Current adds up the same way, i.e. with vector math, when accounting for phase (direction in this analogy).
Here's the vector math of what's happening:
<50, 0> + <50*cos(60 deg), 50*sin(60 deg)> =
After adding up corresponding components:
<75, 25*sqrt(3)> = 25*<3, sqrt(3)>
Magnitude of <3, sqrt(3)> = sqrt(3^2 + sqrt(3)^2) = 2*sqrt(3)
Magnitude of 25*<3, sqrt(3)> = 50*sqrt(3)