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Answer :
Final Answer:
The distance between the two cities, A and B, to the nearest mile is 4000 miles.
Option c) 4000 miles is the correct answer.
Explanation:
1. Convert the angle θ from degrees to radians: θ = 34 degrees * (π/180) = 0.5934 radians.
2. Use the formula for the distance between two cities on a sphere:
distance = 2 * r * sin(θ/2), where r is the radius of the Earth.
3. Substitute the radius of the Earth: r = 4000 miles.
4. Substitute the angle θ: θ = 0.5934 radians.
5. Calculate the distance:
distance = 2 * 4000 * sin(0.5934/2) = 4000 miles.
The distance between the two cities, A and B, to the nearest mile is 4000 miles.
Option c) 4000 miles is the correct answer.
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