Record any names for your feature.
Open up the lunar image and measure the length of a shadow. Just use the x,y coordinate. Convert the pixel to angular distance in the sky and then into kilometers using the distance to the moon and the small angle equation. (Use the Range recorded before.)
To check your conversion from pixel to distance on the lunar surface is correct, pick several craters in the image with sharp, well-defined rims or walls. Measure and record the size of these craters in their longest dimension (which will probably be top-to-bottom). Calculate their sizes. Compare them with a list of known sizes.
If your image covers an area near the center of the lunar disk (i.e. a spot midway between the northern and southern limbs, and midway between the eastern and western limbs), then you should find your crater sizes to be close to that listed, but if your image shows an area far from the middle of the disk, then it will be tilted -- the lunar surface is not face-on to the camera. In that case, you will have to make a correction for the fact you are seeing the crater tilted.
How do we correct for this tilt? Envision the moon and you looking at it:
In the picture below you are viewing two shadows. Each shadow is the same size [42 pixels]. You see the entire 42 pixel length of the one in the center of the moon but the one closer to the edge (limb) of the moon measures only 35 pixels. Thus a picture of center of the lunar disk has little or foreshortening because the lunar surface is roughly face-on to the camera. But a picture of any other area will be tilted with respect to the camera; the closer the area is to the limb of the moon, the larger the tilt.
You will need to correct for this foreshortening.
Use the lunar latitude and longitude of your mountain in the following formula:
tilt correction factor = 1/ (cos(latitude) x cos(longitude))
The correction factor is always larger than 1. Multiply your shadow length (in km) by this factor, to get the corrected shadow length (also in km).
As a check, use this same factor to correct the measured diameters of craters in your image; compare to the known diameters of the craters. How close are your measurements to the listed diameters?
Now you know the size of the shadow you can find the height of the mountain, - if you know the angle of the Sun. See the figure below
The simplest way to the sun angle is to measure the number of degrees between the feature and the terminator (as long as they are less than 90 degrees apart) and multiply by 0.01*(100 - |feature latitude) as a substitute for the solar angle.
Sun angle = (feature longitude -terminator longitude) x .01 x (100 - |feature latitude|)
Shadows are prominent (and most easily measured) when the local solar angle is about 15 degrees or less.
Calculate the height of your feature.
height = shadow length x tan (Sun angle)Can you find another source, which lists the height of your mountain, or other pictures of your mountain? See
The description of your mountain should have its location, name (if you know it) and a run-down on how you go its height. You might even include a sketch.
Be sure to answer all the questions above.
When you find the official values or other information, like the height of Brasstown Bald, you need to say where you got the information - reference, URL, etc.