When you look through a viewfinder, a lens at around 50mm focal length will show objects at the same size as when you look at something with your eyes. You could test this by looking through the viewfinder with one eye, and looking next to it with the other eye. When you close one of your eyes, you will notice that your sight does not change, regarding the size of objects. This applies to APS-C cameras, as well for full frame cameras.
However, the eye is a very special organ and it is sometimes difficult to compare it with a camera with lenses. The angle of view from your eyes is about 180 degrees. It is a common misconception that your eyes cover 50 degrees or something like that. They 'focus' on a smaller angle of view, but if you concentrate you can see things in your peripheral vision.
Example: look forward and keep your arms next to your head, then slowly turn your hand forward. You will see it becomes visible when it is somewhere beside your head, so your angle of view is around 180 degrees with both eyes.
To capture such a wide angle you will need a very expensive ultra wide angle lens that does not look very natural in a picture. This is due to the fact that your eyes can 'focus' on a much smaller angle (see Macula of retina). That is also the reason why humans/animals have to 'aim' with their head, not every part of the eye has the same resolution.
Because your eyes 'focus' on a smaller angle of view, photographers prefer to have a 50mm
(fullframe equivalent) to show the same angle as your eyes when they are normally looking at something.
A 50mm lens equivalent is a well accepted 'standard', so a 35mm lens could be considered as standard on an APS-C camera, taking into account the crop factor. A 50mm lens on crop becomes rather tight and is more suitable for portraits, although that is just an opinion.
I hope this helps you.