Help! Solve this Physics Problem Driving Me Crazy!

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A six-meter ladder leans against a wall, touching it five meters high, with a mass of 14.0 kg and a ground friction coefficient of 0.440. The discussion centers around calculating the force exerted on the ladder by the ground. Participants emphasize the importance of drawing a force diagram to visualize the problem. Understanding the forces acting on the ladder, including weight, normal force, and friction, is crucial for solving the problem. The conversation highlights the need for a systematic approach to physics problems involving static equilibrium.
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This Physics Problem Is driving my crazy I'm hoping someone out there can help me!
Okay a six-meter ladder is leaning against a wall. The top of the ladder touches the wall five meters above the ground. The mass of the ladder is 14.0 KG. The coefficient of friction between the ladder and the ground is .440. What is the force exerted on the ladder by the ground?
 
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Have you drawn a force diagram?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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