Find mass of rope

1. The problem statement, all variables and given/known data
One end of a rope is fixed to a vertical wall and the other end pulled by a horizontal force of 20N. The shape of the flexible rope is shown in the figure. Find its mass.

2. Relevant equations

3. The attempt at a solution

Let the wall exert a force F in the tangential direction at the point where rope is fixed. Let the tangent make an angle θ with vertical.

cotθ= mg/20

But θ is still unknown! :confused:

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