Yushan, or Jade Mountain, the highest point along the Tropic of Cancer, is located in Taiwan, making it the correct answer to the student's question.
The question seeks to identify the highest point where the Tropic of Cancer crosses a specific island republic. Yushan, also known as Jade Mountain, is indeed the tallest mountain in this location and is found in Taiwan. The Tropic of Cancer, which lies at approximately 23.5 degrees north latitude, marks a significant geographical boundary and directly influences the climatic conditions in the regions it traverses.
In conclusion, Yushan represents not only the highest point along the Tropic of Cancer in an island republic but is also a significant geographical feature in Taiwan that affects local weather patterns and ecological systems.