Depends on the size of the earthquake that causes it.
ADDED: Also of course, the topography and altitude of the coast; and the nature of any barrier such as mangrove swamps, which are effective breakwaters.
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The distance a tidal wave travels inland depends on various factors such as the wave's size, speed, and the topography of the coast. In extreme cases, tidal waves, or tsunamis, have been known to travel miles inland causing widespread destruction.
Tidal waves can stretch up-to a very long distance, it can go onto the land at the speed of 100 metres atleast, they are very dangerous and occur at Coastal areas.
The tsunami can flood as fast as a commercial jet plane.
seiche - a french word meaning to sway back and forth This happened back in 1954, about two years after I was born, while my uncle and his family lived in Chicago (although they were far, far from the lake and well out of harm's way). http://ezinearticles.com/?The-Day-a-Tidal-Wave-Hit-Chicago&id=172583 shows an article written by someone who was there when it occurred.
A powerful tsunami can travel inland several miles, depending on factors such as the slope of the land, coastal geography, and the strength of the tsunami. In some extreme cases, tsunamis have been observed to travel tens of miles inland.
A tsunami can travel uphill depending on the slope, height, and force of the incoming wave. In some cases, tsunamis have been recorded to reach elevations of several hundred feet as they move inland.
Depends on the rise. If it was similar to the Japan Tsunami 3/11/11 it would go around 1000 miles inland. If it was just a tall thin wave it would go half the size of height. Then again its possible it could go all around the world but it all depends on the elevation....