Abidjan is 4o west of Accra and on the same circle of latitude. If the radius of this circle of latitude is 6370km, how far is Abidjan west of Accra, correc...
Abidjan is 4o west of Accra and on the same circle of latitude. If the radius of this circle of latitude is 6370km, how far is Abidjan west of Accra, correct to the nearest kilometer? [Take π = 22/7]
Answer Details
Abidjan is 4o west of Accra, and they are on the same circle of latitude. Since the circumference of a circle of radius r is given by 2πr, the distance between two points on the same circle of latitude is proportional to the angle between them. Since Abidjan is 4o west of Accra, the distance between them is 4/360 times the circumference of the circle of latitude. Using the formula for the circumference of a circle, we have: C = 2πr = 2 x 22/7 x 6370 = 40,014 km (approx.) Therefore, the distance between Accra and Abidjan is: 4/360 x 40,014 km = 445 km (approx.) Hence, the answer is 445km, correct to the nearest kilometer.