Do you know of a formula or function that can calculate the real world height of a satellite image in degrees?

The image is from Google Static Maps and the image uses [Mercator projection](http://en.wikipedia.org/wiki/Mercator_projection#Derivation_of_the_Mercator_projection) which makes calculating the height very difficult. I can successfully calculate the width **but I don't know of a formula to calculate the height of the satellite image in degrees.**

![enter image description here](https://i.stack.imgur.com/hTagn.png)  

For the above image I know this information:

* Width= 400px
* Height= 400px
* Central mid point is: -32 Lat 151 Long
* Google's zoom value is 14

This is how I calculate the width which works:

```
// The reason I use 256 is because in google the whole earth fits inside 256 pixels
// when the zoom value is 0(zoom can be 0 > zoom < 25)
float meshWidthDeg = (imgWidth/256f)*(360f / Math.Pow(2f,zoom));

```
['https://math.stackexchange.com/questions/174444', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/23680/']
After a quick look at the Wikipedia entry for the Mercador projection, I believe that for short distances, the horizontal and vertical scales are the same (on a printed map). Scroll down to **Formulae for distance**. Pixels are usually not square, so you have to allow for that, and it could vary between devices.

There is a comment there that Google uses a variant of the Mercador.
map a matrix over the image, and find the actual coordinate points of the grid points of your matrix. fill a second matrix with calculations of the coordinate points with the information of your picture. with two values in every gridpoint you can figure out a matrix of slopes. 

make a list of functions using the respective slopes and actual coordinate points.

find the convergence point of these functions. with the convergence point you can construct a pyramidoid from which you can find whatever angle you want.