The picture helps. Your guitar has no cutaways to give you easy access to the frets. The best you can do is to angle your wrist around so you can fret the notes. It will be difficult since you won't be able to use your thumb for leverage since you are using frets past where the neck ends.

Actually, I see "cutaway" is the proper term. Here's an article that shows what I'm talking about:
http://en.wikipedia.org/wiki/Cutaway_(guitar)

If you find you often want to play songs that are that high up on the fretboard, you might consider a different guitar with a shape and scale length that suits the style of music you want to play.

Typically, acoustics are shaped like yours (dreadnaught shape). Yes, it looks like a Spanish or classical style guitar. You can get an acoustic with a cutaway. Generally, acoustics type songs don't utilize the upper frets much. Many electric guitar songs and styles do, which is why you'll see electric guitars designed with easy access to the upper frets - Fender Strats, Gibson SG, Ibanez are brands and models that come to mind.

Hope that helps.