The study of how to responsibly use earth's resources pertains to which type of engineering?

The study of how to responsibly use Earth's resources is primarily associated with Environmental Engineering. This branch of engineering focuses on developing technologies and processes that protect the environment, improve existing environmental conditions, and ensure sustainable use of resources. Environmental engineers work on issues related to air and water quality, waste management, and the impact of human activities on ecosystems, which aligns closely with the responsible use and management of Earth's resources.

Geological Engineering, while related to the study of the Earth's materials and processes, does not primarily focus on resource management from an environmental perspective. It deals more with the geological factors that affect civil engineering projects, such as site stability and resource extraction, rather than the broader responsibility of protecting and conserving natural resources.

In contrast, Aerospace Engineering focuses on the design and development of aircraft and spacecraft, which is not relevant to resource management. Chemical Engineering is concerned with the processes involving chemicals and materials but does not specifically address the sustainable use of Earth's resources as a primary focus. Thus, Environmental Engineering is the most fitting choice when considering the responsible management of Earth’s resources.