SOLUTION: Three forces acting at a point are in eqilibrium. These forces are 980 pounds, 760 pounds, and 1220 pounds. Find the angles between the directions of the forces. My trig teach

Algebra ->  Trigonometry-basics -> SOLUTION: Three forces acting at a point are in eqilibrium. These forces are 980 pounds, 760 pounds, and 1220 pounds. Find the angles between the directions of the forces. My trig teach      Log On


   



Question 196089: Three forces acting at a point are in eqilibrium. These forces are 980 pounds, 760 pounds, and 1220 pounds. Find the angles between the directions of the forces.
My trig teacher told me to place all the vectors head to tail to form a triangle and find the angles using the law of consines. I got the angles 88.1, 38.5, and 126.6 but they add up to 180 not 360 like if the forces were actually pulling.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
OK -- so far, so good

picture sliding the TAIL of each vector in a head-to-tail pair from the head of the vector it is touching, to the tail
keeping each vector pointed in the original direction

you will end up with all the tails together at the proper angles

after the displacement, the angles between any tail-to-tail pair should be the SUPPLEMENT of the angle when the pair was head-to-tail