If you're short on time, here's a quick answer to your question: While Hawaii itself is not visible from California due to the curvature of the Earth, its tallest volcanoes can sometimes be seen from California on very clear days.
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Hawaii is approximately 2,400 miles away from California, making it the closest state to the U.S. mainland. However, Alaska is also relatively close to Hawaii, with a distance of approximately 2,800 miles.
Similar distance (± 0.5%)Hawaii is just as far away from California as California from New York City (3,919 km), Brooklyn (3,924 km), Queens (3,933 km), Havana (3,847 km), Montréal (3,902 km), Philadelphia (3,835 km), Manhattan (3,921 km), The Bronx (3,928 km), Tegucigalpa (4,068 km), Boston (4,135 km).
It isn't possible to drive to Hawaii from the mainland United States. The only way to get your car there is by shipping it. Fortunately, it's incredibly easy and cost effective to fly to the islands and rent a car there, saving you time and money.
If you're short on time, here's a quick answer to your question: Hawaii offers a more laid-back, island vibe with pristine beaches and a lower cost of living, while California boasts diverse cities, a thriving job market, and excellent entertainment/culture.
The closest country to Hawaii is technically the United States itself, as Hawaii is an integral part of the United States and is located in the Pacific Ocean, about 2,400 miles (3,900 kilometers) southwest of California. However, if you're looking for the closest foreign country to Hawaii, that would be Japan.
A reason for the close ties is the large population of Japanese-Americans in the Islands. While Japanese were in Hawai'i as early as 1806 as survivors of ship wrecks, efforts to bring in Japanese immigrants were not undertaken until King David Kalakaua visited Japan in 1881 to initiate treaty discussions.
Can you see Japan from California? Not unless your cliff is VERY high. Great Circle distance from California to Japan is over 8,000 km (over 5,000 miles). The formula I have always used for distance to horizon is 1.22 x sqrt(h) miles, where h is in feet.