A Flexible chain between two hooks (statics)

[pegasus24]

Homework Statement

A flexible chain weighing 41.0 N hangs between two hooks located at the same height. At each hook, the tangent to the chain makes an angle θ = 41.5° with the horizontal.
(a) Find the magnitude of the force each hook exerts on the chain.
(b) Find the tension in the chain at its midpoint.

Homework Equations

Fx = 0
Fy = 0
M = 0

The Attempt at a Solution

Let the magnitude of force each hook exerts be Rh.
Then Rh = Tsinθ = Wsinθ = 27.17 N
But this is wrong. What is my mistake in this calculation?

 

[WatermelonPig]

There are two hooks and assuming the weight is distributed evenly then how much of the weight is supported by each hook?

 

[pegasus24]

I took the weight as 41/2 but the calculation is still wrong..