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Two towns P(60° N, 15° W) and Q(60°N, 30°E) are on the same parallel of latitude. An aircraft flying along the parallel of latitude takes...

Two towns P(60° N, 15° W) and Q(60°N, 30°E) are on the same parallel of latitude. An aircraft flying along the parallel of latitude takes 4 hours 10 minutes to fly from P to Q. Taking the radius of the earth to be 6370 km, calculate to the nearest whole number,

i)the distance covered by the aircraft from P to Q
ii)the speed of the aircraft.

Answers

i) Angle transversed between P to Q
= 15 + 30 = 45°
Radius of latitude 60° N = 6370cos 60°
Distance of arc PQ
= 45/360 x 2 x 22/7 x 6370 cos 60°
= 2502 km
ii)Time taken = 25/6 h
Speed of aircraft = 2502 ÷ 25/6
=2502 × 6/25
= 600 km/h.

Githiari answered the question on April 6, 2019 at 19:31

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