Respuesta :
Exact answer: 2100pi miles
Approximate answer: 6594 miles
note: I used pi = 3.14 as an approximation. Use more decimal digits for pi if you want a more accurate answer
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Explanation:
Assume for the sake of simplicity that the satellite travels in a circular orbit. The radius of this orbit is 4000+200 = 4200 miles as we account for the earth's radius plus the height of the satellite. Also assume that the satellite's height doesn't change throughout its orbit.
Find the circumference of a circle with radius r = 4200 miles
C = 2*pi*r
C = 2*pi*4200
C = 8400pi
The satellite travels exactly 8400pi miles in one full orbit around the earth. This takes place over 4 hours. So we can write these three ratios
1 orbit : 8400pi miles traveled
1 orbit : 4 hours
4 hours : 8400pi miles traveled
Now divide both sides of the last ratio by 4 to end up with this...
4 hours : 8400pi miles traveled
4/4 hours: 8400pi/4 miles traveled
1 hour: 2100pi mile traveled
The satellite travels exactly 2100pi miles in 1 hour. This is approximately equal to 2100*3.14 = 6594 miles if you use 3.14 for pi
Use more decimal digits for pi if you need better accuracy
Based on the circumference of the Earth, the exact distance the satellite travels in an hour is 2,000π miles.
By orbiting the earth, the satellite is going around the circumference of the earth.
The circumference of the Earth is:
= 2 x π x radius
= 2 x π x 4,000 miles
= 8,000π miles
The satellite covers this distance in 4 hours so in an hour it would cover:
= Distance / Number of hours
= 8,000π / 4
= 2,000π miles
In conclusion, the exact value of the satellite's travel distance is 2,000π miles.
Find out more at https://brainly.com/question/20426760.
