Hfrhyu

I have quite a simple problem yet I can already guess the solution is going to be pretty complicated.
I'm using QGIS and was wondering if there is a simple way for the computer to automatically assign height attributes to contours. The .kml file does not include height data and I don't have a .DEM file, but my source does have a .pdf to give a general idea of the contour layout. You can find it here: http://www.carpworld.co.za/index.php/dam-contours/boskop-dam. Say I set the height of the outside(highest) contour and the most inner(deepest) contour of the lake as well as the contour interval, I can see the plausibility.
This is how the lake and the Attribute Table looks:

The features displayed in Attribute Table are points and the contour lines are not joined yet (One contour is not displayed as as one feature) they are still segmented lines and not polylines, so this is something to keep in mind.

So to summarize: I need a simple quick way to join the contours and assign height values to them in a somewhat automated process.

Note: As was discussed in the comments, this is an unusual situation. Usually you would either have depth measurements as points, or a DEM raster. Starting with depth measurements as points, you would interpolate them into a DEM, then use the DEM to generate contours.

In this case, the only data available is contours without depth measurements, and a pdf map with depth labels. For anyone who finds themselves in this situation, I strongly recommend searching for better data. Use the method below only after you've exhausted the possibility of finding proper data.

Here's a semi-automated method to apply known depth values to contours that came without depth values.

1. 
   

   Create a new line layer. It can be a temporary scratch layer. Draw a line that crosses from the outside (shoreline) contour to the deepest contour. (The direction of the line matters.) Choose a location where the cross line will increase in depth from start to finish, IE not crossing any areas where the lake get shallower.

   
   
   

   

   
   


2. 
   

   Use the Line Intersection tool to get the points where the cross line crosses the contours.

   
   
   

   

   
   


3. 
   

   Assign depth values to the intersection points with a calculation like:

   
   
   

   (-1 * (@row_number -1)) * conversionfactor
   

   
   
   

   The conversion factor is the spacing between the contours. To figure this out, count how many contour intervals there are from the shoreline to the deepest point (without crossing any rings). Divide this number by the depth of the lake. EG, my lake is 4m deep, and there are 4 intervals, so the contours are 1m apart, and my conversion factor is 1. (-1 * (@row_number -1)) * 1

   
   
   

   

   
   


4. 
   

   Use the Join Attributes by Location tool to copy the depth values from the points to the contours.
   

   
   
   

   Note: Joining by location failed to join any of the features. This might be a bug, but apparently the intersection points don't actually intersect with the contours (they should, but they don't). As a workaround, I used the NNJoin plugin to do a nearest-neighbor join.

   
   
   

   

   
   

This creates a new layer of contours with depth values:

Note: If your contours are discontinuous, you'll need to repeat the process a few times until all the contours have depth values. Manually label contours in areas of shallow water surrounded by deeper water.