You plan to fly a small airplane from San Jose Airport to Reno-Tahoe International Airport. Using a map you find that on the map San Jose Airport if 475 miles north and12.2 miles west of the origin, and Reno-Tahoe airport is at 623 miles north and 132 miles east of the maps origin. The National Weather Service reports that there will be steady winds of 15 knots coming from North-West. Your airplane cruises with an airspeed of 120mph, and you can approximate its entire journey to be with this airspeed (i.e. neglect acceleration during take-off and landing)
1. What compass heading (i.e. what direction with North=0?, East=90?, etc.) should you fly?
2. How long will the flight be?2. How long will the flight be?
3. Given the limited precision of the numbers used in your calculation (i.e. the significant digits) how close would you expect to be to the airport if you just pointed your plane in the calculated direction and waited the calculated time?