Final answer:
Performing the jaw-thrust procedure and applying a nonrebreather mask with high-flow oxygen are appropriate initial steps for a patient with respiratory compromise. Once the patient's breathing is relieved, you can move aside and allow your partner to continue the primary examination.
Step-by-step explanation:
Based on the scenario described, you have performed the correct initial steps for a patient with respiratory compromise. The jaw-thrust procedure is used to open the airway and alleviate any obstruction that may be causing the cyanosis and sonorous respirations. Your partner's decision to apply a nonrebreather mask with high-flow oxygen is also appropriate to further support the patient's breathing.
Since the patient is now stable and showing signs of improvement, it would be safe to move aside and allow your partner to proceed with the cervical collar and continue the primary examination. This helps ensure a systematic and thorough assessment of the patient's condition.