Final answer:
The student's question is a Geography-related query about subway tunnels under the East River in New York City. To provide an accurate response, one must know which street is being referenced, since some major streets have NYCTA transit tunnels, while others do not.
Step-by-step explanation:
The student's question pertains to the New York City Transit Authority (NYCTA) subway system and its infrastructure. When posed with the statement 'There is no rapid transit tunnel of the NYCTA under the east river at _____ street,' it is a question of Geography related to the specifics of the city's subway system routes and infrastructure. The NYCTA operates numerous subway lines, some of which do indeed run under the East River, connecting Manhattan to other boroughs via tunnels.
To accurately answer the blank in the question, one would need to consult subway maps or historical records of NYC subway construction. Generally, high-profile streets such as 14th and 42nd have subway tunnels crossing the East River, but lesser-known streets might not. It's essential, however, to identify the specific street in question to provide a definitive answer.