Equilibrium in Two Dimensions: What Force Does a Hanging Boy Exert on Each Tree?

[Leelo]

Homework Statement

a boy on whom the force of gravity is 400 N hangs on to the middle of a rope stretched between two trees. The rope sags in such a way that it makes an angle of 170 degrees at the boys hands. what force does the rope exert on each tree?

Homework Equations

F=ma

The Attempt at a Solution

5 degree angle between horizontal and vertical components

 

[haruspex]

5 degree angle between horizontal and vertical components

That's not what you mean. The angle between those components is necessarily 90 degrees.
Anyway, you have an equation to use. Create unknowns as necessary and write out the equation as it applies to this problem. (I.e., show more of an attempt!)