Final answer:
The nurse would use pulse oximetry to assess tissue oxygenation in a client with a compromised cardiopulmonary system.
Step-by-step explanation:
The method a nurse would use to assess tissue oxygenation in a client with a compromised cardiopulmonary system is pulse oximetry. Pulse oximetry is a noninvasive technique that measures the oxygen saturation level in the blood. It provides information about the amount of oxygen available to the tissues.
Pulse oximetry works by shining a light through a finger or earlobe and measuring the amount of light absorbed by the oxygenated and deoxygenated hemoglobin in the blood. The device then calculates the oxygen saturation level, which is expressed as a percentage.