Instructions
Read each question carefully and show all your calculations. Use the space provided to write your answers.
1. Flight Time Calculation
Your friend wants to fly from City A to City B, which is 150 nautical miles away. If the aircraft travels at an average speed of 75 knots, how long will the flight take? (Time = Distance / Speed)
Flight Time:
2. Fuel Consumption Rate
The aircraft uses fuel at a rate of 10 gallons per hour. If the flight from City A to City B takes 2 hours, how much fuel will be used during the flight?
Fuel Used:
3. Weight and Balance
The Maximum Takeoff Weight (MTOW) for the aircraft is 2,800 pounds. If the weight of the aircraft without passengers and cargo is 1,800 pounds, how much weight can be added for passengers and cargo?
Available Weight for Passengers & Cargo:
4. Altitude Conversion
You are flying at an altitude of 3,000 feet. Convert this altitude to meters (1 foot = 0.3048 meters). Show your calculations below.
5. Navigation Calculation
If you need to fly on a heading of 90° for 50 nautical miles, how many degrees will you turn if you need to correct for a 10° wind correction angle to the left?
Corrected Heading:
6. Airspeed Adjustment
If your indicated airspeed is 120 knots but you need to adjust for a headwind of 20 knots, what is your ground speed? Show your calculations below.
7. Time of Departure
If your flight is scheduled to take 1 hour and you plan to arrive at your destination at 3:00 PM, what time should you depart? Show your calculations.
8. Review Question
Explain why understanding basic math is important for a private pilot. Consider aspects like navigation, fuel management, and safety in your response.