Which method can be used to estimate the position of a tropical storm's center?

Using shipboard radar is an effective method for estimating the position of a tropical storm's center. Radar technology can detect precipitation associated with the storm, allowing meteorologists to visualize the storm's structure, including its eye, wind patterns, and movement. This provides real-time information which is crucial for navigation and safety at sea.

Handheld compasses are primarily used for determining direction and navigation rather than for tracking weather phenomena. While observing wave height can give some indication of a storm’s strength, it does not provide an accurate location of the center of the storm. Noting air temperature can indicate some atmospheric changes but is not a reliable method for locating the eye of a tropical storm. Radar, on the other hand, provides precise data and a comprehensive view of the storm system, making it a critical tool for weather forecasting and maritime operations.