Solving Frictional Force on Ladder

[Power of One]

Homework Statement

A ladder 12.0m long weighing 125 N rest against a smooth vertical wall. The bottom of the ladder makes an angel of 67 with the deck. A bucket of paint with a mass of 14kg rests o a rung, 7.00m from the bottom end of the ladder. What is the frictional force exerted on the bottom of the ladder?

Homework Equations

T= F x R x Cos theta

The Attempt at a Solution

Sum of forces x: Nw- fs=0
Sum of forces y= Ng- Fg=0
Sum of torques: Tnw- Tfg=0

Do I have these equations correct? I don't know which angles and lengths get plugged into which? Can someone please help me?

 

[tiny-tim]

Hi Power of One!

First find the normal force.

Then take moments to find the friction force.