This is a usage of attempt that is correct, but is not often seen today. Attempt can mean to (try to) overcome an obstacle or to climb (a mountain) . The horse refused to attempt the fence.
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Blue JayThe writing style of this passage suggests that it was written a century or two ago.Wilson, James, Biography of the Blind, 1821-1838
park sang joonI'd like to know why the author used "attempted the river," not "attempted to cross the river."English, like all languages, evolves over time.