If you are talking about finishing trim on half walls then most people opt for 42" or 48". If you mean finishing trim on a full wall that does not reach the ceiling then 1 foot below the ceiling is the usual. If you meant a decorative border then right below either of the other trims or at eye level.
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The ladder is 7 foot up the wall if the ladder if the ladder is 3 ft away from wall.
If you are using a grab bar designed for ADA use it can be mounted directly to the wall, 34" to the center of the flanges.
assuming the wall and ground make a 90 degree angle with one another, Pythagorean's Theorem states the ladder will go 8 feet up the wall.
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