Question 3
An Indonesian high-tech company has invented an airbag that can be dropped from tall buildings without bursting. An engineer will be conducting the test at the Autograph Tower Thamrin Nine, currently the tallest building in Indonesia, which has $75$ floors. His goal is to find the highest floor of this building from which the airbag won't burst when dropped. The engineer only made two identical prototypes of this airbag for testing, which can be dropped from various floors of the building. If an airbag doesn't burst after being dropped, it may be reused without suffering any loss of quality. But if both airbags burst before the engineer has determined the highest floor, then the test is considered to be a failure. What is the least number of times the engineer must drop the airbags in order to determine the highest floor?