# When aero plane left town P (65º N,15º E) to another town Q (65º N,165º W) at a speed of 200 knots using the shortest route. Take π = 22/7 and radius of the earth R= 6370 km.

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When aero plane left town P (65º N,15º E) to another town Q (65º N,165º W) at a speed of 200 knots using the shortest route. Take π = 22/7 and radius of the earth R= 6370 km.

1.
• Calculate the distance travelled in nautical miles.
• Calculate the time taken to travel from P to Q in hours.
2. Another plane left P at 1.30 pm local time and travelled to T (65ºN,60ºE) along a parallel of latitude. Calculate the:
• Distance between P and T to the nearest km
• Local time of arrival at town T if the plane flew at the speed of 470 km/h

selected ago

1.
• θ = 180º - (65 + 65) =50º
D= 60x50 = 3000nm

•   Time = d/s = 3000nm/200knots = 15hours
2.
•  Distance between P and T to the nearest km (3 marks)
Longitude difference = 60 - 15 = 45º
Distance(km) =( θ/360 )2πRcos α
45/360 x 2 x 22/7 x 6370 x cos65
=2115km

•  Time = 2115.2/470 = 4hrs 30 minutes
45 x 4/60 = 3hrs
time at T = 1:30  + 41/2 + 3hrs
=9:00pm