What would be the endurance at an altitude of 7,500 feet using 52 percent power with 48 gallons of fuel?

To determine the endurance of an aircraft at a specific altitude and power setting, you need to evaluate the amount of fuel available and the fuel consumption rate at that power setting. In this case, using 52 percent of power with 48 gallons of fuel at an altitude of 7,500 feet leads to an endurance calculation indicating the aircraft can fly for 7.7 hours.

This figure is derived from understanding the relationship between fuel flow and power settings. At various altitudes, the efficiency of the engine and fuel consumption rate can change, but at 52 percent power, the aircraft is operating in a relatively efficient cruise setting. By using the total fuel on board (48 gallons) and dividing it by the fuel flow rate specific to that power and altitude, the result is consistent with an endurance of 7.7 hours.

The other choices suggest different estimations of endurance based on either incorrect fuel consumption rates or power settings. Therefore, calculating with available data and established performance charts for the aircraft type at the stated conditions leads to confirming that 7.7 hours is the correct answer, reflecting a precise understanding of fuel management in aviation performance.