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About 15 degrees. Many, if not most, extension ladders today have a sticker on the side that shows a line that should be parallel to the ground when the ladder is at the proper safe angle.
43 degresses
Lean a ladder against a wall. Not too steep . . . Give it a nice angle, for safe climbing. The height is the distance between the ground and the place where it hits the wall. The slant height is the length of the ladder.
23.53
You should normally have three rungs(steps) past the surface you are climbing to from the ladder. They are a foot apart on most ladders so 15 feet would be close. Add a foot since you have to angle the ladder appropriately(scope) so 16 feet or longer is safe. A 20 foot extension ladder would be a good choice.