The correct answer to this open question is the following.
Although you forgot to attach the options for this question we can say the following.
The objective that best describes the reason for American intervention in Bosnia Herzegovina during the 1990s is "to protect civilians caught in the crossfire."
President Bill Clinton ordered "Operation Deliberate Force" with the help of its allies of NATO, the North America Treaty Organization. President Clinton knew that the use of force was the answer to stop the massacre of civilians in Bosnia. President Clinton was worried and said that "If we fail to address these threats today, we will suffer the consequences in all our tomorrows."
What accounted for ethnic cleansing in the Balkans during the 1990s was the Serbian leader Milosevic's effort to remove Bosniaks through killing or deportation. In July 1995, the Serbs assassinated 8000 Bosniak people, and the immediate reaction of the international community through the United Nations was to condemn the brutal attack.