A rope is tied to a tree 10 feet up, and held out horizontally.
A diagonal post rests at the bottom of the tree and goes up at a 60 degree angle. At a height of 10 feet the rope intersects the diagonal post and they are tied together. This creates a 30/60/90 triangle of tree, rope, and diagonal post. The force on the rope is away from the tree, The force on the diagonal post is down towards the base of the tree.
If a weight of 200 lbs is hung from the intersection of the rope and the post, what is the tension on the rope and what is the pressure on the bottom of the tree?
The Attempt at a Solution
I am missing a couple of issues here. I tried using trig on the vectors but I seem to be missing a value. Help.