Which reason best explains japan's imperialism in the late nineteenth and early
twentieth centuries?
a desire to sell surplus goods to foreign markets
a desire to spread buddhism to neighboring asian countries
a desire to increase its wealth, power, security, and prestige
a desire to rule other countries just for the sake of ruling other countries

a desire to increase its wealth, power, security, and prestige

Explanation:

Japan Imperialism began as the Meiji Restoration made the country experience a rapid increase of wealth with industrialization and investment coming to change the reality of a former isolated Japan.

The tremendous changes meant, competing with European standards favoring the modernization of the country.

The desire to increase wealth came, as rapid industrialization was made possible with Western investment and modernization.

The desire for an identity resulted in Japan later expanding overseas and becoming militarized with an establishment of colonies in China after the Sino Japanese War.

Following this Meiji period, Japan had became an actual colonial Empire

with an increased power an turned to threat the worldwide balance of power in the Pacific when it began to expand into South East and invade China (Manchuria).

The prestige of Japan became most widely known as winners of the Russo-Japanese War They defeated the Russians and secured their emergence as a power.

During the First World War, they remained untroubled and continued to grow.

Japan Imperialism lasted until the Second World War, which was the peak in 1947 experienced a turning point in 1949 as the US entry to the arena created a shift of power to end the presence of the Japanese among the many islands in the Pacific.

The US efforts in the Pacific secured the removal of the presence of the Japanese that were scattered.

The image shows the Empire of Japan at its peak:

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Remember soh-cah-toasoh: cah: toa: now, looking at the picture we can see that we have an angle, the hypotenuse and want to find the value of the adjacent side to the angle. so we use cah to find the adjacent angle. plug in what we have: we need to solve for x now so we get it by itself on one side: plug this into your calculator and you'll find that: