Why Did I Get the Wrong Answer for the Force at Point C?

[theBEAST]

Homework Statement

Here is the question along with part of the solution. I am online concerned about finding the force at C.

The Attempt at a Solution

For my solution I decided I would sum the moments about point B. However I ended up getting the wrong answer for the force at C. Does anyone know why?

 

[PhanthomJay]

You didn't follow the solution manual. You should first check your geometry to see that the angle you denote as 5 degrees is actually 15 degrees. But then if you sum moments about B, C has both vertical and horizontal components, it is not perpendicular to the member.

 

[theBEAST]

You didn't follow the solution manual. You should first check your geometry to see that the angle you denote as 5 degrees is actually 15 degrees. But then if you sum moments about B, C has both vertical and horizontal components, it is not perpendicular to the member.

Ah, I reoriented BD so that the angle there is 5 degrees instead of 15 :P. So you are saying force C will not be perpendicular to BD?

I just summed the moments about B using their answers. I converted the forces C and P so that they are perpendicular to the link BD and summed the moments. The moment does not equal to zero. Is this an error?

Here is my work: