Final answer:
The energy that must be dealt with in this manner is transferred from the Sun to the shuttle by radiation. So, the correct answer is option c.
Step-by-step explanation:
The energy that must be dealt with in this manner is transferred from the Sun to the shuttle by radiation. Radiation is the mode of energy transfer through empty space, without any requirement for a medium. In this case, the Sun emits electromagnetic waves that are absorbed by the space shuttle, transferring energy and preventing the shuttle from overheating. So, the correct answer is option c.