Final answer:
To solve the student's geography question, we add 120° to the initial longitude of 60° west and subtract 50° from the initial latitude of 20° north resulting in a new position of 180° west, 30° south (option B).
Step-by-step explanation:
The student's question involves determining their new position after traveling from an initial location by adding degrees to their latitude and longitude. To solve this, we must understand that starting at 60° west, 20° north and traveling 120° farther west and 50° south means we are relocating further west and moving into the southern hemisphere.
Traveling 120° west from 60° west gives us a new longitude of 60° + 120° = 180° west. As for latitude, moving 50° south from 20° north means we must cross the equator and end up at 30° south (since 50° - 20° = 30°). However, as we cross from north to south, we do not add the degrees
Therefore, the new position after the trip is 180° west, 30° south, which corresponds to option B) 180° west, 70° south, since the actual calculation was not performed correctly.