What is the increased distance that you can see over the horizon thanks to the curvature of space time by earth. Compare it to thet distance without taking into account general relativity
The effect on earth's horizon by general relativistic effects is negligible. An observer at ground level will see a 4.7km radius horizon curve. A scale this small will appear to have essentially flat spacetime due to earth's low total mass and radius.
interesting now take that scale  and multiply it by 10 how would the distance compare now.
Assuming you mean multiplying the radius of the horizon curve by 10, the new radius would be 47km. However, even with this increase, the effect of general relativistic effects on the horizon would still be negligible at this scale. The curvature of spacetime due to the Earth's mass and radius is still relatively small compared to the scale of human experience. So, while the horizon would appear slightly curved over a distance of 47km, the effect would still be subtle and difficult to perceive without specialized instruments.