Six shots taken at f/16, ISO 100, using a 18 – 135mm telephoto at different focal lengths: 18, 24, 35,50,85,135mm. All taken from the same, fixed spot, the camera mounted on a tripod.
Clearly as the focal length increases the angle of view narrows.
It is often said that the focal length that is closest to normal human vision is 50mm (35mm on an APS-C sensor) (Diprose & Robins, p.121) which would equate to the third shot in the sequence above. The most natural view for me though is the first, at 18mm. Even then my natural field of vision is still a little wider – perhaps I am blessed with a particularly wide angle of vision; I know from eye tests that I have quite good peripheral vision and can ordinarily see (though not focus properly!) on objects that fall outside the edges of my glasses lenses.
Diprose, G & Robins, J (2012). Photography: The New Basics (Principles, Techniques and Practice). London: Thames & Hudson.