The diameter of Earth is about 8,000 mi. Suppose a jet is traveling around Earth at an altitude of 30,000 ft. How many miles will the jet travel in a complete circle aroung Earth?
a. 94,247.8 mi.
b. 25,156.7 mi.
c. 38,000 mi.
d. 8,005.7 mi.
5,280 ft. = 1 mile
30,000 / 5,280 = 5.68 miles
8,000 + 5.68 = 8,005.68 miles = new diameter
C = pi * d
C = 3.14 * 8,005.68
C = 25,137.835 miles
To determine the number of miles the jet will travel in a complete circle around Earth, we need to calculate the circumference of the circle.
The formula to calculate the circumference is C = π * d, where C is the circumference, and d is the diameter.
Given that the diameter of Earth is about 8,000 miles, we can substitute that value into the formula:
C = π * 8,000
To calculate the circumference accurately, we will use the value of π rounded to the nearest hundredth:
π ≈ 3.14
C ≈ 3.14 * 8,000
C ≈ 25,120 miles
Therefore, the jet will travel approximately 25,120 miles in a complete circle around Earth.
Among the answer choices provided, the closest match is option b. 25,156.7 mi.