A flight with id LT2322 from Munich Airport (latitude 48.352179, longitude 11.781848) to Indira Gandhi Airport in New Delhi (latitude 28.555274, longitude 77.102714) has taken-off at 12:00 Munich Local Time with a course on shortest distance along great circle. The average ground speed of the flight is 900 km/h. However, the flight has a serious problem with fuel and requires on the fly refill in its course. Assume there is an airport of civil aviation at your current location with only one runway. Having known that a support aircraft from this airport (from your location) reaches the LT2322 flight and start refilling after 3 hours from take-off at Munich. Calculate the Azimuth of the runway at your location, calculate the distance traveled by the support aircraft. Calculate the position of the Rendezvous position. Note: take a spherical earth model with radius 6371 km. You can use any online calculator to calculate spherical azimuth and great circle distances, however the links of the online web pages or other material used must be listed in the references section of your work. Q1) Draw the spherical triangle containing Munich Airport (B), Rendezvous Point (A) and Your Location (C). Name and mark the azimuth angles. Hint: do not forget to use the azimuth angle of LT2322 flight from Munich to New Delhi. (20 pts) Q2) Calculate the distance from Munich to your location and mark it on the spherical triangle. (20 pts) Q3) Calculate the distance from the rendezvous point to Munich and mark it on the spherical triangle. (20 pts) Q4) Solve the spherical Triangle using cosine rule to obtain the distance between your location and rendezvous point. (20 pts) Q5) Use sine rule to obtain the inner angle at your location. Using the Azimuth angle between your location and Munich find the azimuth angle of the runway (20 pts).