Question

Vectors Problem:Forces of 60 pounds and 100 pounds have a resultant force of 125 pounds. Find the angle between the two forces.

Answer 1

to my knowledge, one more data is missing. But still I can be wrong

Answer 2

nope im sure this is all, i managed to solve this before but forgot how to

Answer 3

ahaa you can represent the forces by the sides of a triangle and then it's a matter of using sine rule and cosine rule

Answer 4

how would you do that?

Answer 5

so the sides are 60,100,125

Answer 6

just realized law of cosines

Answer 7

and the cosine rule is a^2=b^2+c^2-(bc)costheta

Answer 8

yeah, so I guess you got it now

Answer 9

thanks for the question as well

Answer 10

ive been trying to use vector properties to solve this

Answer 11

wait 1 sec the resultant force isnt the 3rd side of the triangle

Answer 12

\[c^2=a^2+b^2-2ab\cos\theta\]\[125^2=100^2+60^2-2(100)(60)\cos\theta\]\[2025=-12000\cos\theta\]You can do the rest...

Answer 13

@d3v13 one of us has a faulty formulation of the law of cosines