Rendering a Height Map with OpenGL 2.1

I am working on a project using OpenGL 2.1 to render a replica of popular hill by my university. I have a .bmp greyscale image of the hill in question, but have not figured out the code to correctly load and render the height map. My google searches have not produced viable solutions. As an assignment, I am required to use OpenGL 2.1; this means that any OpenGL 3.x code is unusable. I appreciate any help, and thank you in advance.