All drains slope 1/4 inch per foot, minimum. Too much slope,though, can mean pulling water out of the trap or goose neck on a toilet.
1" per 4' minimum.
7 degrees is 1 1/2" rise in one foot.
66 feet
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Trigonometry is used in measuring the height of waves, the distance between two celestial bodies and is used in navigation to calculate the distance to the shore from a particular point in the ocean..... also architects use trigonometry to measure the slope of roof.. And much more. the above is just 4 single examples of specific tasks whereas in fact it enters a huge range of fields. One such field in which trig, is an essential element, is that of electrical, sound and vibration studies and designs (the basic wave shape is a sine wave).
One quarter inch per foot is standard "slope". This equates to a quarter bubble on a level. If you don't have at least one eighth of an inch "slope", your drain will not work properly and will clog constantly.
No. If you think about it, upstairs toilets actually drain through the walls and down under the foundation and footings, so you would have a 100% slope there. You can have too little slope, but never too much, since gravity is actually what drains a toilet. Yes you can. Pipes that run vertical are not a problem because friction is not acting on either the solid or the liquid matter. Where a pipe is sloping steeply the water can run away leaving solid matter behind.
With a level
One-quarter inch per foot is both the standard practice all around the country and the minimum slope (or grade) allowed by most codes. If maintaining that much slope is a problem, an exception can be requested from the administrative authority.
Depends how much of it you replace . Also how much flooring you remove if you can't get underneath.
1/4 " per Foot minimum. At least this is what I get out of "Code Check", ISBN # 1-56158-409-6. There is a lot to plumbing on how pipes are sized, vented and connected. This book is worth getting-I found it on E-bay for less than $10.00.
From various sources I gathered that the minimum fall (slope) is 1cm fall over 1m distance. Converted that is 0.125 (1 eighth) inch fall over 1 foot distance.The maximum that should not be exceeded is 1cm fall over 20cm distance. Converted that is 0.25 (1 quarter) inch fall over 4 foot distance.
First thing you should do is call a plumber. Drain lines are not supposed to leak. Your drain line is clogged and needs to be snaked out and the leaking pipe repaired.
Probably it is due to the size of the toilet tank. If the toilet is a low flow, or under 2 gallons per flush, the tank will be considerably smaller than an older toilet tank, which might hold as much as 25 gallons. The only critical thing in istalling a toilet is if the drain pipe lines up with the drain opening. Unless you move the toilet drain, the new toilet is going to sit in the same place. If you have a gap between the wall and the tank, you might want to put a block of wood or something to help anchor the tank. Newer tanks are smaller due to the reduced water need with the current flushing technology.
The drain from the toilet to the main or the main itself is partially clogged or collapsed. There is probably enough room for the sink to drain but the washer puts out so much water all at once it can't get through and backs up into the tub and toilet.
Depends in which direction, how far and if you can get at the drain from below. (ie in a basement) Give us some real facts and we will give a good answer.
1 in 150 for each pipe is better