To determine how far the man descends from the crown of the dome without slipping, we can analyze the forces acting on him. The maximum angle of descent (θ) can be found using the coefficient of static friction (μ = 0.75) and the equation tan(θ) = μ. This gives θ = arctan(0.75). The horizontal distance from the crown to the point of descent on the dome can be calculated using the radius (20m) and the cosine of θ, which results in a descent of approximately 7.5 meters from the crown of the dome.
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